if 3-√2 and 3+√2 are the roots of quadratic equation then form the quadratic equation
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Answer:
if are root is (
3
+
2
) then other root is (3−
2
)
(∵ irrational roots occurs in pair)
⇒ Sum of roots =
a
−b
=α+β=3+
2
+3−
2
=6
αβ=(3+
2
)(3−
2
)=7=
a
c
∴ eq
n
is x
2
−(α+β)x+αβ
⇒
x
2
−6x+7=0
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