the sum of tow roots of a quadratic equation is 5 and sum of theircubes is 35 find the equation
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1
Answer:
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just equate the roots to the formula (a+b)^3
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Answered by
1
Answer:
x²-5x+6=0
Step-by-step explanation:
let the roots are p and q
then p+q=5
and p³+q³=35
(p+q)³-3pq(p+q)=35
5³-3*pq(5)=35
125-15pq=35
15pq=125-35=90
pq=90/15=6
THus the equation
x²-(p+q)x+pq=0
x²-5x+6=0
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