Given α, β are roots of quadratic equation x2 + ax + b then the roots of the quadratic equation bx2 + ax + 1 would be
Given α, β are roots of quadratic equation x2 + ax + b then the roots of the quadratic equation bx2 + ax + 1 would be
Option 1 -
Option 2 -
α, β
Option 3 -
α + β, α – β
Option 4 -
None
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1 Answer
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Correct Option - 1
Detailed Solution:Given quadratic equation x2 + ax + b = 0
Then product of roots αβ = b
Sum of roots α + β = − a
Next quadratic equation bx2 + ax + 1 = 0
Then product of roots =
Hence, clearly by visualising options
New roots we will be and
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