how can we solve a quadratic equation with product as -12 and sum as -5?

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Dear Student,

$Let α and β are the roots of quadratic equation . Here α + β = - 5 and αβ = - 12 The required quadratic equation is, k [x^{2} - (α + β) x + αβ] = 0, where k is a non zero real number . \Rightarrow k [x^{2} + 5 x - 12] = 0 \Rightarrow x^{2} + 5 x - 12 = 0$
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how can we solve a quadratic equation with product as -12 and sum as -5?

Dear Student, Let α and β are the roots of quadratic equation.Here α+β=-5 and αβ=-12The required quadratic equation is, kx2 - α+βx +αβ = 0, where k is a non zero real number.⇒kx2 + 5x - 12 = 0⇒x2 + 5x - 12 = 0 Regards

Dear Student,

$Let α and β are the roots of quadratic equation . Here α + β = - 5 and αβ = - 12 The required quadratic equation is, k [x^{2} - (α + β) x + αβ] = 0, where k is a non zero real number . \Rightarrow k [x^{2} + 5 x - 12] = 0 \Rightarrow x^{2} + 5 x - 12 = 0$
Regards