5. If 2 is a zero of the polynomial p(x) - 2 - 3x + 70, then find the value of a
to and I are the zeroes of the polynomial ) - 2 - 3 + x + b. then find the
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Answer:
Let the zeros of the quadratic equation be α and β
Sum of the roots , α+β=−
5
3
and product of the zeros , αβ=
5
k
Also, given,
α
2
+β
2
=−
25
11
Now,
(α+β)
2
=α
2
+β
2
+2αβ
=>(−
5
3
)
2
=−
25
11
+2×
5
k
=>
25
9
=−
25
11
+
5
2k
=>
25
9
+
25
11
=
5
2k
=>
25
20
=
5
2k
=>k=
2×25
20×5
=>k=2
Step-by-step explanation:
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