Question

if root of an equation 2 x square - 3qx+ 5q =0 is twice the other .find the value of q​

Answer 1

Let one zero be A and 2A

here, a = 2 , b = -3q , c = 5q

sum of zeroes = -b/a

A + 2A = 3q / 2

6A= 3q

q = 2A__________1

product of zeroes = c/a

Ax2A = 5q/2

2A^2 = 5(2A) /2 (USING 1)

2A^2 = 5A

A^2/A = 5/2

A = 5/2

from 1

q = 2A

q= 2X5/2

q= 5

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