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The roots of a quadratic equation are 5 and -2. Then, the equation is

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

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

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

x^{2} + 3 x + 10 = 0

answer is B.

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Detailed Solution

Given roots of the quadratic equation are 5 and -2.
We know that, if

α and β

are the roots of the quadratic equation then quadratic equation is given by,

x^{2} - (α + β) x + αβ = 0

.
Here,

α = 5 and β = - 2

. Then,

α + β = 5 + (- 2) = 3

and

αβ = 5 (- 2) = - 10

.
Therefore, required quadratic equations is,

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

.
Hence, the correct option is 2.

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