The roots of the quadratic equation x^{2}-2x- | vedclass

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Question

(A) To find the roots of the quadratic equation $x^{2}-2x-15=0$,we can use the factorization method.We need to find two numbers whose product is $-15$

Vedclass · Accepted Answer

$5$ and $-3$

Vedclass · Answer

(A) To find the roots of the quadratic equation $x^{2}-2x-15=0$,we can use the factorization method.We need to find two numbers whose product is $-15$ and whose sum is $-2$.These two numbers are $-5$ and $3$,since $(-5) 	imes 3 = -15$ and $(-5) + 3 = -2$.Now,rewrite the equation as: $x^{2}-5x+3x-15=0$.Factor by grouping: $x(x-5)+3(x-5)=0$.This gives: $(x-5)(x+3)=0$.Setting each factor to zero,we get $x-5=0$ or $x+3=0$.Therefore,$x=5$ or $x=-3$.The roots of the equation are $5$ and $-3$.

The roots of the quadratic equation $x^{2}-2x-15=0$ are ....... .

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