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प्रश्न
Construct a quadratic equation with roots 7 and −3
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उत्तर
The given roots are 7 and – 3
Let α = 7 and β = – 3
α + β = 7 – 3 = 4
αβ = (7)(– 3) = – 21
The quadratic equation with roots α and β is x2 – (α + β) x + αβ = 0
So the required quadratic equation is
x2 – (4) x + (– 21) = 0
(i.e.,) x2 – 4x – 21 = 0
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