Algebra

What is the sum of the two solutions to the quadratic equation (x + 4)(x - 3) = 7

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Expert Solution

The sum of the solutions of a quadratic equation of the form a x2 + bx + c = 0 is given by

- b / a

Let us write the given equation in standard form

(x + 4)(x - 3) = 7

x2 + x - 12 = 7

x2 + x - 19 = 0

The sum of the solutions of the the given equation is

- b / a = - 1 / 1 = -1

-1

Nipun Maity answered 2 years ago

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