Question

Find the roots of the quadratic equation
${x}^{2 } - 3x - 10 = 0$
​

Answer 1

x^2-5x+2x-10=0

x(x-5)+2(x-5)=0

(x+2)(x-5)=0

x=-2 or x=5

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Answer 2

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-2 and 5

step-by-step explanation:

Given,

The quadratic equation,

${x}^{2 } - 3x - 10 = 0$

On Generalisation the terms,

we get,

${x}^{2 } - 5x + 2x - 10 = 0$

Now,

taking the common terms,

we get,

=> x(x-5) +2 (x-5) = 0

Again,

taking the common term,

we get,

=> (x-5) (x+2) = 0

=> x - 5 = 0 and x +2 = 0

=> x = 5 and x = -2

Hence,

the roots ofthe given equation are,

-2 and 5.