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