Question

If the roots of the equation kx^2-12x+4=0 are equal the value of k will be what

Answer 1

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Answer 2

Hi Mate !!

Given equation :- kx² - 12x + 4 = 0

a = k

b = ( - 12 )

c = 4

• If the roots of the quadratic equation are equal then their discriminant is equal to Zero.

i.e, D = 0 ..... ( i )
and D = b² - 4ac ..... ( ii )

From ( i ) and ( ii )

b² - 4ac = 0

( 12 )² - 4 × k × 4 = 0

144 - 16k = 0

- 16k = - 144

k = 144/16

k = 9