in2 X2-4x+p polynomial if roots are equal and distinct then find p
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Answer:
1vihx8ts688j99vs69obg7e479hvxs68
Answered by
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Step-by-step explanation:
The equation is x
2
−4x+p=0
let the roots are x
1
andx
2
and it is given that x
1
2
+x
2
2
=16
product of the root is =
1
4
x
1
×x
2
=4
the sum of the roots is =
1
p
x
1
+x
2
=p
know we have,
(x
1
+x
2
)
2
=x
1
2
+x
2
2
+2×x
1
×x
2
(p)
2
=16+2×4
p
2
=24
p=
24
p=2
6
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