# Find the roots of the given quadratic equation by

Maria Huey 2021-12-17 Answered
Find the roots of the given quadratic equation by factorization method
${x}^{2}-3x-10=0$
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alexandrebaud43
Step 1 Given
${x}^{2}-3x-10=0$
Step 2 Finding the roots
${x}^{2}-5x+2x-10$
x(x-5)+2(x-5)=0
(x-5)(x+2)=0
x-5=0; x+2=0
x=5; x=-2
x=5, -2
$\therefore$ Roots are 5,-2

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movingsupplyw1
Step 1
Given,
${x}^{2}-3x-10=0$
Step 2
Now,
By factorization method,
$\therefore {x}^{2}-3x-10=0$
$⇒{x}^{2}-5x+2x-10=0$
$⇒x\left(x-5\right)+2\left(x-5\right)=0$
$⇒\left(x-5\right)\left(x+2\right)=0$
either,
$⇒x-5=0$ or $⇒x+2=0$
$⇒x=5$ or $⇒x=-2$
$\therefore$ The roots are x=5 and x=-2.

We have step-by-step solutions for your answer!