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प्रश्न
Form the quadratic equation if its roots are 5 and 7.
उत्तर
Roots of a quadratic equation are 5 and 7.
Let α = 5 and β = 7.
α + β = 5 +7 = 12
αβ = 5 × 7 = 35 .
∴ The quadratic equation is given by .
x2 - (α+β ) x + α β = 0
∴ x2 - 12x + 35 = 0
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