SOLUTION: An original quadratic equation for x is of the form: x^2+bx+c=0. If c is increased by 4, the roots for x of the resulting equation are equal, but if the original c is decrease

Question 179376: An original quadratic equation for x is of the form: x^2+bx+c=0. If c is increased by 4, the roots for x of the resulting equation are equal, but if the original c is decreased by 5 one of the roots for x in this resulting equation is twice the other. Find the product of the roots for x in the original quadratic equation.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
If the roots are and , I can write

the original equation is of the form

(1)

(2)
Subtract (1) from (2)

The product of the roots is 14
check:
(1)

OK
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