if one of the roots of quadratic equation is 4, then the value of p is:
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Answer:
Since −4 is a root of the equation x
2
+px−4=0
∴(−4)
2
+p×(−4)−4=0⇒16−4p−4=0⇒4p=12⇒p=3
The equation x
2
+px+k=0 has equal roots
∴ Discriminant =0
⇒p
2
−4k=0⇒k=
4
9
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