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

`\:x=-(3)/(2),x=-(1)/(2)`

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)=(-8\pm √(8^2-4\cdot \:4\cdot \:3))/(2\cdot \:4)`

`x_(1,\:2)=(-8\pm \:4)/(2\cdot \:4)`

Separate the solutions:

`x_1=(-8+4)/(2\cdot \:4),\:x_2=(-8-4)/(2\cdot \:4)`

The solutions to the quadratic equation are:

`\:x=-(3)/(2),x=-(1)/(2)`