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What is the solution of the equation (4x + 3)² = 18?

What is the solution of the equation (4x + 3)² = 18?-example-1

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Answer:

third option

Explanation:

(4x + 3)² = 18 ( take square root of both sides )

4x + 3 = ±
√(18) = ±
√(9(2)) = ± (
√(9) ×
√(2) ) = ± 3
√(2) ( subtract 3 from both sides )

4x = - 3 ± 3
√(2) ( divide both sides by 4 )

x =
(-3+3√(2) )/(4) , x =
(-3-3√(2) )/(4)

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