if one roots of x2 + px -7 = 0 is 7 then value of p is answer
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Answer:
Let root of the given equation x
2 +px+q=0 are α and α 2
Then, we have α⋅α 2 =α 3 =q and α+α 2=−p
On cubing both sides, we get
α 3+(α 2 ) 3+3α.α 2(α+α 2 )=−p 3
⇒q+q 2+3q(−p)=−p 3
⇒p 3 +q 2+q(1−3p)=0
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value of p is 8...
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