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

Question

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

(Use the letter x to represent the variable.)

Answer 1

Since -5 is a root, x - (-5) = x + 5 is a factor

Similarly, x + 6 is also a factor

So, 5(x+5)(x+6) = 0 is the quadratic equation

Answer 2

-(-5)+/-((-5)²-4(5)(-6))^-2

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