the roots of the quadratic equation x^2-4x+K=O are coincident if=?
Answers
Answered by
1
Answer:
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
answer
Answered by
4
Answer :
4
Explinatation :
b^2-4ac=0
(-4)^2-4(1)(k)=0
16-4k=0
4k=16
k=4
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