form the quadratic equation whose roots are less by '1' than those of 3x²-4x-1=0
Answers
Answered by
1
Answer:
α, β are the roots of 3x
2
−4x+1=0
α=1,β=
3
1
Hence,
β
α
=
3
1
and
β
α
=3
therefore sum of roots
β
α
+
β
α
=
3
10
Product of roots, (
β
α
)(
α
β
)=1
Therefore, equation will be, x
2
−
3
10
x+1=0
3x
2
−10x+3=0
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3
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