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Verified Answer :

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.

Answer:

the solutions are approximately are  2.91 and -2.91

Step-by-step 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;

\(x =\pm \sqrt{8.5}\)

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