If -4 is a root of the quadratic equation x2+px-4 and the quadratic equation x2+px+q=0 has equal root, find the value of k. plzz answer
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If -4 is a root of the quadratic equation x2+px-4 and the quadratic equation x2+px+q=0 has equal root, find the value of k. plzz answer
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Step-by-step explanation:
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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* The difference of and interger a and (- 6) is 4 find the value of a