Question

Find the roots of x2-3x-10=0

Answer 1

${x}^{2} - 3x - 10 = 0 \\ {x}^{2} - 5x + 2x - 10 = 0 \\ x(x - 5) + 2(x - 5) = 0 \\ (x - 5)(x + 2) = 0 \\ x - 5 = 0 \: \: \: \: \: \: or\: \: \: \: \: \: \: \: x + 2 = 0 \\ x = 5 \: \ \: \: \: \: \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: \: \: \: \: \: x = - 2$
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Answer 2

your answer:-

x2-3x-10=0

taking out factors which comes out to be -5 and 2

so

(x2-5x)+(2x-10)=0

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

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

1) x+2=0
x=-2

2)x-5=0
x=5

answer :- -2 and 5