Question

Solve.

4x² + 6 = 40

Round to the nearest hundredth.

Enter your answers in the boxes.

The solutions are approximately
______ and ________
.

Answer 1

the solutions are approximately are 2.91 and -2.91

Explanation:

Given the equation:

`4x^2+6=40`

Subtract 6 from both sides we have;

`4x^2=34`

Divide both sides by 4 we have;

`x^2=8.5`

Take square-root both sides we have;

`x =\pm √(8.5)`

Simplify:

`x =\pm 2.91548..`

Round to the nearest hundredths

`x = \pm 2.92`

Therefore, the solutions are approximately are 2.92 and -2.92

Answer 2

4 x² + 6 = 40
4 x² + 6 - 6 = 40 - 6
4 x² = 34
x² = 34 : 4
x² = 8.5
x = √ (8.5)
x 1 = 2.9154759 ≈ 2.92 ( to the nearest hundredth )
x 2 ≈ - 2.92
Answer:The solutions are approximately 2.92 and - 2.92.