Which of the following quadratic equations has roots 3, 5 ? (A) xÂ²-15x+8=0 (B) xÂ²-8x+15=0 (C) xÂ²+3x+5=0 (D) xÂ²+8x-15=0

asked Jan 19, 2024 234k views

2 votes

Which of the following quadratic equations has roots 3, 5 ?

(A) xÂ²-15x+8=0
(B) xÂ²-8x+15=0
(C) xÂ²+3x+5=0
(D) xÂ²+8x-15=0

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3 votes

Answer:

x^2-8x+15=0

Explanation:

If the roots are
and
, the factors are
(x-3) and
(x-5) .

Taking the leading coefficient as 1, the equation is
$(x-3)(x-5)=0 \implies x^2-8x+15=0$ .

Murkantilism answered Jan 25, 2024

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