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2 years ago

Substitute x = (- 1 + 2√2)/4 in the equation (4x + 1)² - 8 = 0 and check whether the value satisfies the given equation.

Mathematics

1 answer:

kow [346]2 years ago

3 0

The value of x = (- 1 + 2√2)/4 satisfies the given equation.

<h3>What is an Equation ?</h3>

An equation is a mathematical statement formed when two algebraic expressions are equated by an equal sign.

The equation given is

(4x + 1)² - 8 = 0

x = (- 1 + 2√2)/4

To check whether it satisfies the equation

( 4 * ( (- 1 + 2√2)/4) +1)² -8 = 0

(-1 + 2√2 +1)² - 8 = 0

(2√2)² -8 = 0

8-8 = 0

As LHS = RHS ,

hence the value of x = (- 1 + 2√2)/4 satisfies the given equation.

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