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Question: If a, b are roots of the equation 2x<sup>2</sup> – 5x + 3 = 0, then a<sup>2</sup>b + b<sup>2</sup>a ...

If a, b are roots of the equation 2x2 – 5x + 3 = 0, then a2b + b2a is equal to

A

15/2

B

–15/4

C

15/4

D

–15/2

Answer

15/4

Explanation

Solution

Here a + b = 52\frac{5}{2}; ab = 32\frac{3}{2}

Now a2b + ab2 = ab (a + b) = 32\frac{3}{2} × 52\frac{5}{2} = 154\frac{15}{4}