Find the zeros of the quadratic function. Solve by factoring. x^2+14x=-45

Question

Mathematics

Sheldon Harris

12 March, 09:36

Find the zeros of the quadratic function. Solve by factoring. x^2+14x=-45

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Answers (1)

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Marlene Noble · Answer 1

So, x^2 + 14 x + 49 - 4 = 0;

Then, we use the formula (a + b) ^2 = a^2 + 2ab + b^2;

We have (x + 7) ^2 - 2^2 = 0;

Then, (x + 7) ^2 - 2^2 = 0;

We use the formula a^2 - b^2 = (a - b) (a + b);

We obtain (x + 5) (x + 9) = 0;

Then, x + 5 = 0;

x = - 5;

x + 9 = 0;

x = - 9;

-5 and - 9 are the zeros of the quadratic function.