If the sum and product of the roots of t...

If the sum and product of the roots of the equation `ax^(2)-5x+c=0` are both equal to `10` then find the values of a and c.

Verified by Experts

The correct Answer is:

a=`1/2 ; c=5`

BASIC ALGEBRA
FULL MARKS|Exercise Exercise-2.1|5 Videos
BASIC ALGEBRA
FULL MARKS|Exercise Exercise-2.2|6 Videos
BASIC ALGEBRA
FULL MARKS|Exercise Exercise-2.13|20 Videos
BINOMIAL THEOREM, SEQUENCES AND SERIES
FULL MARKS|Exercise Additional Questions Solved|31 Videos

Similar Questions

Explore conceptually related problems

If he roots of the equation 12 x^2-m x+5=0 are in the ratio 2:3 then find the value of mdot

The product of the roots of the equation x|x|-5x-6=0 is equal to

If one root of the equation 2x^(2)-ax+64=0 is twice that of the other find the value of a.

Find a so that the sum and product of the roots of the equation 2x^(2)+(a-3)x+3a-5=0 are equal is ……

If one root of the equation 2x^(2) - ax + 64 = 0 is twice that of the other then find the value of a.

Find a so that the sum and product of the roots of the equation 2x^(2) + (a -3)x + 3a -5 = 0 are equal is

Find the sum and product of the roots for the quadratic equation x^(2)+8x-65=0 is ____.

If both roots of the equation a(x^2-1)+x+c are imaginary and c gt -1 then

Find a so the sum and product of roots of the equation 2x^2 - (a - 3) x + 3a - 5 = 0 are equal is ………