Question

Find the quadratic equation whose roots are
(a) -3,7.
(b) 2 + 13,2- v3 ​

Answer 1

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Answer 2

Answer:

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1)-3,7

LET α=-3,β=7

α+β= -3+7=4

αβ=-3x7= -21

THE REQUIRED EQUATION IS

X² -(α+β) X +αβ=0

X²-4X)-21=0

X-4X-21=0

2) 2+√3,2-√3

α+β =2√3+2-√3=4

αβ= 2+√3x2-√3 = -4x3= -12

QUADRATIC equation is

x²-4x-12=0 ....

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