If the roots of the equation 2×2 – 5x + b = 0 are in the ratio of 2:3, then find the value of b ?

– by 0

A. 12
B. 43
C. 3
D. 5

Let the roots of the equation 2a and 3a respectively.
2a + 3a = 5a = -(- 5/2) = 5/2 => a = 1/2
Product of the roots: 6a2 = b/2 => b = 12a2
a = 1/2, b = 3.

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