a quadratic equation x²-5x+12 has the roots a and b.Find a quadratic equation whose roots will be 1/a and 1/b...Please send the process also....I will mark the best the brainliest
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a quadratic equation x²-5x+12 has the roots a and b.Find a quadratic equation whose roots will be 1/a and 1/b...Please send the process also....I will mark the best the brainliest
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Answer:
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ANSWER:-
The correct answer is -16
EXPLANATION:-
Given that equation x
2+5x−7=0 has roots a and b
So we get a+b=−5 and ab=−7
The roots of equation 2x
2+px+q=0 is a+1,b+1
So we get a+b+2=− 2p
⇒p=−2(−5+2)=6
From product of roots we get 2q
=(a+1)(b+1)=ab+a+b+1=−11
⇒q=−22
Therefore p+q=6−22=−16