Finding Roots of an Equation - Revision history

Lila at 19:26, 18 October 2021

2021-10-18T19:26:44Z

Lila at 22:22, 17 September 2021

2021-09-17T22:22:19Z

Lila: /* Resources */

2021-09-17T22:22:00Z

Resources

Lila: /* Resources */

2021-09-17T22:21:07Z

Resources

Lila at 22:19, 17 September 2021

2021-09-17T22:19:22Z

Lila at 22:18, 17 September 2021

2021-09-17T22:18:44Z

Lila at 22:12, 17 September 2021

2021-09-17T22:12:40Z

Lila: Created page with "==Resources== In mathematics, the roots of a function are the x-values that make y = 0. For example, the roots of the polynomial $y = x^2 - 4$ are 2 and -2, since..."

2021-09-17T22:12:15Z

Created page with "==Resources== In mathematics, the roots of a function are the x-values that make y = 0. For example, the roots of the polynomial <math> y = x^2 - 4 </math> are 2 and -2, since..."

New page

==Resources==
In mathematics, the roots of a function are the x-values that make y = 0. For example, the roots of the polynomial <math> y = x^2 - 4 </math> are 2 and -2, since <math> 0 = x^2 - 4 /implies 0 = (x - 2)(x + 2) /implies x = -2, 2</math>.
* [https://www.freemathhelp.com/finding-roots/#:~:text=A%20root%20is%20a%20value,f%20(%20x%20)%20%3D%200%20. Finding Roots], Free Math Help

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-In mathematics, the roots (also known as zeros) of a function are the x-values that make y = 0. For example, the roots of the polynomial <math> y = x^2 - 4 </math> are 2 and -2, since <math> 0 = x^2 - 4 \implies 0 = (x - 2)(x + 2) \implies x = -2, 2</math>. The roots of <math> y = \frac{(2x - 5)(3 - x)}{x(x^2 + 1)} </math> are 3 and 5/2, since only the numerator needs to equal 0 for y to equal 0. The roots of <math> y = \frac{(x^2 - 4)(x-1)}{(x-2)} </math> are -2 and 1. Note that 2 is not a root of this function since it makes both the denominator and numerator 0 (not just the numerator), and 0/0 is undefined.
+''See [[Polynomial Functions]] for more on factoring and finding roots''
 ==Resources==
 * [https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/find-zeros-of-a-polynomial-function/ Finding Zeros of Polynomials], Lumen Learning
 * [https://www.freemathhelp.com/finding-roots/#:~:text=A%20root%20is%20a%20value,f%20(%20x%20)%20%3D%200%20. Finding Roots], Free Math Help
 * [https://www.cliffsnotes.com/study-guides/algebra/algebra-ii/polynomial-functions/zeros-of-a-function Zeros of a Function], Cliff's Notes

← Older revision		Revision as of 22:22, 17 September 2021
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−	In mathematics, the roots of a function are the x-values that make y = 0. For example, the roots of the polynomial <math> y = x^2 - 4 </math> are 2 and -2, since <math> 0 = x^2 - 4 \implies 0 = (x - 2)(x + 2) \implies x = -2, 2</math>. The roots of <math> y = \frac{(2x - 5)(3 - x)}{x(x^2 + 1)} </math> are 3 and 5/2, since only the numerator needs to equal 0 for y to equal 0. The roots of <math> y = \frac{(x^2 - 4)(x-1)}{(x-2)} </math> are -2 and 1. Note that 2 is not a root of this function since it makes both the denominator and numerator 0 (not just the numerator), and 0/0 is undefined.	+	In mathematics, the roots (also known as zeros) of a function are the x-values that make y = 0. For example, the roots of the polynomial <math> y = x^2 - 4 </math> are 2 and -2, since <math> 0 = x^2 - 4 \implies 0 = (x - 2)(x + 2) \implies x = -2, 2</math>. The roots of <math> y = \frac{(2x - 5)(3 - x)}{x(x^2 + 1)} </math> are 3 and 5/2, since only the numerator needs to equal 0 for y to equal 0. The roots of <math> y = \frac{(x^2 - 4)(x-1)}{(x-2)} </math> are -2 and 1. Note that 2 is not a root of this function since it makes both the denominator and numerator 0 (not just the numerator), and 0/0 is undefined.

	==Resources==		==Resources==

← Older revision		Revision as of 22:21, 17 September 2021
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	==Resources==		==Resources==
	* [https://www.freemathhelp.com/finding-roots/#:~:text=A%20root%20is%20a%20value,f%20(%20x%20)%20%3D%200%20. Finding Roots], Free Math Help		* [https://www.freemathhelp.com/finding-roots/#:~:text=A%20root%20is%20a%20value,f%20(%20x%20)%20%3D%200%20. Finding Roots], Free Math Help
		+	* [https://www.cliffsnotes.com/study-guides/algebra/algebra-ii/polynomial-functions/zeros-of-a-function Zeros of a Function], Cliff's Notes

@@ Line 1: / Line 1: @@
-In mathematics, the roots of a function are the x-values that make y = 0. For example, the roots of the polynomial <math> y = x^2 - 4 </math> are 2 and -2, since <math> 0 = x^2 - 4 \implies 0 = (x - 2)(x + 2) \implies x = -2, 2</math>. The roots of <math> y = \frac{(2x - 5)(3 - x)}{x(x^2 + 1)} </math> are 3 and 5/2, since only the numerator needs to equal 0 for y to equal 0. The roots of <math> y = \frac{(x^2 - 4)(x-1)}{(x-2)} are -2 and 1. Note that 2 is not a root of this function since it makes both the denominator and numerator 0 (not just the numerator), and 0/0 is undefined.
+In mathematics, the roots of a function are the x-values that make y = 0. For example, the roots of the polynomial <math> y = x^2 - 4 </math> are 2 and -2, since <math> 0 = x^2 - 4 \implies 0 = (x - 2)(x + 2) \implies x = -2, 2</math>. The roots of <math> y = \frac{(2x - 5)(3 - x)}{x(x^2 + 1)} </math> are 3 and 5/2, since only the numerator needs to equal 0 for y to equal 0. The roots of <math> y = \frac{(x^2 - 4)(x-1)}{(x-2)} </math> are -2 and 1. Note that 2 is not a root of this function since it makes both the denominator and numerator 0 (not just the numerator), and 0/0 is undefined.
 ==Resources==
 * [https://www.freemathhelp.com/finding-roots/#:~:text=A%20root%20is%20a%20value,f%20(%20x%20)%20%3D%200%20. Finding Roots], Free Math Help

← Older revision		Revision as of 22:18, 17 September 2021
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		+	In mathematics, the roots of a function are the x-values that make y = 0. For example, the roots of the polynomial <math> y = x^2 - 4 </math> are 2 and -2, since <math> 0 = x^2 - 4 \implies 0 = (x - 2)(x + 2) \implies x = -2, 2</math>. The roots of <math> y = \frac{(2x - 5)(3 - x)}{x(x^2 + 1)} </math> are 3 and 5/2, since only the numerator needs to equal 0 for y to equal 0. The roots of <math> y = \frac{(x^2 - 4)(x-1)}{(x-2)} are -2 and 1. Note that 2 is not a root of this function since it makes both the denominator and numerator 0 (not just the numerator), and 0/0 is undefined.
		+
	==Resources==		==Resources==
−	In mathematics, the roots of a function are the x-values that make y = 0. For example, the roots of the polynomial <math> y = x^2 - 4 </math> are 2 and -2, since <math> 0 = x^2 - 4 \implies 0 = (x - 2)(x + 2) \implies x = -2, 2</math>.
	* [https://www.freemathhelp.com/finding-roots/#:~:text=A%20root%20is%20a%20value,f%20(%20x%20)%20%3D%200%20. Finding Roots], Free Math Help		* [https://www.freemathhelp.com/finding-roots/#:~:text=A%20root%20is%20a%20value,f%20(%20x%20)%20%3D%200%20. Finding Roots], Free Math Help

Finding Roots of an Equation - Revision history

Lila at 19:26, 18 October 2021

Lila at 22:22, 17 September 2021

Lila: /* Resources */

Lila: /* Resources */

Lila at 22:19, 17 September 2021

Lila at 22:18, 17 September 2021

Lila at 22:12, 17 September 2021

Lila: Created page with "==Resources== In mathematics, the roots of a function are the x-values that make y = 0. For example, the roots of the polynomial y = x^2 - 4 are 2 and -2, since..."

Lila: Created page with "==Resources== In mathematics, the roots of a function are the x-values that make y = 0. For example, the roots of the polynomial $y = x^2 - 4$ are 2 and -2, since..."