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Write the quadratic equation whose roots are −6 and −4 , and whose leading coefficient is 5 .
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Write the quadratic equation whose roots are −6 and −4 , and whose leading coefficient is 5 .

User James Paul Mason
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1 Answer

5 votes

Vieta's formulas :

s = x₁ + x₂ = -6 + (-4) = -6 - 4 = -10

p = x₁ · x₂ = -6·(-4) = +24 = 24

The equation is : 5(x² - sx + p) = 0 ⇒ 5(x² +10x +24) = 0 ⇒

⇒ 5x² + 50x + 120 = 0.


User Wreeecks
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