Question

Solve the following quadratic formula and enter the solutions below from smallest to largest. Round to the nearest tenth if necessary.

Equation: 4x2+8x+7=4

Solution: Answer
and

Answer 1

Answer:

$\:x=-\frac{3}{2},x=-\frac{1}{2}$

Step-by-step explanation:

Subtract 4 from both sides:

$4x^2+8x+7-4=4-4$

Simplify:

$4x^2+8x+3=0$

Solve with the quadratic formula:

$x_{1,\:2}=\frac{-8\pm \sqrt{8^2-4\cdot \:4\cdot \:3}}{2\cdot \:4}$

$x_{1,\:2}=\frac{-8\pm \:4}{2\cdot \:4}$

Separate the solutions:

$x_1=\frac{-8+4}{2\cdot \:4},\:x_2=\frac{-8-4}{2\cdot \:4}$

The solutions to the quadratic equation are:

$\:x=-\frac{3}{2},x=-\frac{1}{2}$