Respuesta :

HomertheGenius
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:

[tex]4x^2+6=40[/tex]

Subtract 6 from both sides we have;

[tex]4x^2=34[/tex]

Divide both sides by 4 we have;

[tex]x^2=8.5[/tex]

Take square-root both sides we have;

[tex]x =\pm \sqrt{8.5}[/tex]

Simplify:

[tex]x =\pm 2.91548..[/tex]

Round to the nearest hundredths

[tex]x = \pm 2.92[/tex]

Therefore, the solutions are approximately are  2.92 and -2.92

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