Question

if the roots of the quadratic equation ax^2 +bx + c = 0 are equal,then show that b^2 = 4ac.​

Answer 1

Answer:

4n^2-4n^2 =0

Step-by-step explanation:

If the roots of a quadratic equation are equal, then the factors of the equation will look like (x+n)² or (x-n)², where n is a constant. Expanding this gives us:

(x+n)²=x²+2nx+n²

Then the co-efficients of the equation are 1, 2n, and n². Then:

b²-4ac=(2n)²-4(1)(n²)

=4n²-4n²

=0

Which proves your point……………..

hope this will help you...