Question

If the roots of the equation mx? - 3mx+9=0 are real and equal, find the
value of m.
(Answer : m = 4)​

Answer 1

Step-by-step explanation:

$\huge\sf\underline\red{answer}$

given,

mx²-3mx+9 = 0

roots are real and equal.

to find,

value of m

let's understand:-

to find the value of m given condition is that roots are real and equal

.: ∆ = b²-4ac = 0.

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by comparing with ax²+bx+c

we can say that:

a = m

b= -3m

c = 9

.: b²-4ac = 0

(-3m)² - 4(m)(9) = 0

9m² - 36m = 0

9m ( m-4) = 0

.: 9m = 0. m - 4 = 0

m = 0. m = 4

.: m can't be zero so m = 4