the roots of the following quadratic equation are real and equal, find k. y^2 +ky+12=0
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Step-by-step explanation:
3y
2
+ky+12=0
The roots of the given quadratic equation are real and equal. So, the discriminant will be 0.
b
2
−4ac=0
⇒k
2
−4×3×12=0
⇒k
2
−144=0
⇒k
2
=144
⇒k=±12
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