if a and b are the zeros of the quadratic polynomial x2 - 4x + 1 then a + b is equal to .
please
Answers
Answered by
1
Answer:
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Step-by-step explanation:
ANSWER
α,β roots of f(x)=kx
2
+4x+4
Given α
2
+β
2
=24
We know α+β=
a
−b
=
k
−4
αβ=
a
c
=
k
4
(α+β)
2
=α
2
+β
2
+2αβ
(
k
−4
)
2
=24+2(
k
4
)
k
2
4
2
=24+2(
k
4
)
16=24k
2
+8k
2=3k
2
+k
0=3k
2
+k−2
0=3k
2
+3k−2k−2
0=3k(k+1)−2(k+1)
0=(k+1)(3k−2)
∴k=−1,
3
2
Answered by
5
Answer:
If a and b are the zeroes of the polynomial x²- 4x + 1 then
a + b = -b/a
a+ b = -(-4)/1
a + b = 4
Hope you got it !!
Thank you ♡
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