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If the roots of the equation mx? - 3mx +9=0 are real and equal, find thevalue of m.answer should come m=4 I want step​

Answer»

Step-by-step EXPLANATION:

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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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solution

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


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