Question

Find the solution to the system of equations. Round to the nearest tenth if necessary.

f(x) = 3x+6
g(x) = x² + 4x + 1

Answer 1

The solutions are

(-2.8, -2.4) and

(1.8, 11.4)

- to the nearest tenth.

Explanation:

x² + 4x + 1 = 3x+6

x² + 4x - 3x + 1 - 6 = 0

x² + x - 5 = 0

Using the quadratic formula:

x = [-1 +/- √((1)² - 4*1*(-5)] / 2

= (-1 - 4.583) / 2 , (-1 + 4.583) / 2

= -2.791, 1.792.

Substituting for x in the equation:

y = -2.374, 11.374.