SOLUTION: If the roots of the quadratic equation ax*2+bx+c=0 are in the ratio of 2 : 3, then prove that 6b*2=25ac

SOLUTION: If the roots of the quadratic equation ax2+bx+c=0 are in the ratio of 2 : 3, then prove that 6b2=25ac

Question 1127051: If the roots of the quadratic equation ax*2+bx+c=0 are in the ratio of 2 : 3,
then prove that 6b*2=25ac
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!

If the roots are in the ratio 2:3, then the equation in factored form can be written as

Expanding....

Then

and

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