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प्रश्न
If the roots of a quadratic equation are 4 and – 5, then form the quadratic equation
उत्तर
Let α = 4 and β = – 5
α + β = 4 – 5 = – 1
and α × β = 4 × (– 5) = – 20
∴ The required quadratic equation is
x2 – (α + β)x + αβ = 0
∴ x2 – (– 1) x + (– 20) = 0
∴ x2 + x – 20 = 0
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