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Question

Determine the value of k so that the two roots of the equation x2 − kx + 36 = 0 are equal.


A
k = 12
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B
k = -12
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C
k = 4
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D
k = 6
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Solution

The correct options are
A k = 12
B k = -12

We know that roots of the quadratic equation is equal when D = 0
b24ac=0
So, from the equation x2 − kx + 36 = 0
a = 1, b = -k and c = 36
k24(ac)=0
k24(36)=0
k2=144
k = 12 or -12


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