High School

Four less than twice the square of \( x \) is 124. Which equation can be used to find the value of \( x \)?

A. \( 4 - (2x)^2 = 124 \)

B. \( 2(x - 4)^2 = 124 \)

C. \( (4 - 2x)^2 = 124 \)

D. \( 2x^2 - 4 = 124 \)

E. \( (2x - 4)^2 = 124 \)

Answer :

The solution is Option D.

The value of the equation is A = 2x² - 4 = 124 , and the value of x = ±8

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = Four less than twice the square of x is 124.

Substituting the values in the equation , we get

The value of twice the square of x = 2x²

So , A = 2x² - 4 = 124

2x² - 4 = 124 be equation (1)

Now , on simplifying the equation , we get

Adding 4 on both sides of the equation , we get

2x² = 128

Divide by 2 on both sides of the equation , we get

x² = 64

Taking square roots on both sides of the equation , we get

x = ±8

Therefore , the value of x is ±8

Hence , the equation is 2x² - 4 = 124

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2x^2-4=124 is the correct answer.

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