Question

Find the value of m for which
5 x²-3x + m=0 has equal roots​

Answer 1

Answer :

m = 9/20

Solution :

For any quadratic equation ax² + bx + c = 0, with 2 equal roots has the determinant value equal to 0.

↪ b² - 4ac = 0

In the equation 5x² - 3x + m = 0,

a = 5

b = -3

c = m

↪ b² - 4ac = 0

↪ (-3)² - 4(5)(m) = 0

↪ 9 - 20m = 0

↪ m = 9/20