Question

find the value of M so that the following equation have equal roots mx^2+3x-5=0​

Answer 1

Since the roots of the given equation are equal, it's discriminant must be equal to zero.

Thus, D = 0

=> b^2 - 4ac = 0

=> 3^2 - 4(m)(-5) = 0

=> 9 + 20m = 0

=> 20m = -9

=> m = -9/20

Answer 2

Step-by-step explanation:

for equal roots, b² - 4ac = 0

a = m, b = 3 and c = -5

=> 3² - 4×m×(-5) = 0

=> 9 + 20 m = 0

=> m = -9/20