Solve for x and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.

The square root of the quantity 2 x minus 7 end quantity equals 1.



Answer :

The value of x from the expression is 4

What are algebraic expressions?

Algebraic expressions are known a s mathematical expressions comprised of constants and variables.

These expressions are made up of algebraic operations such as addition, subtraction, division, multiplications and well as other operations.

From the information given, we have that;

[tex] \sqrt{2x - 7} = 1[/tex]

To solve for x, we start by finding the square fo both sides, this would give;

[tex] { \sqrt{2x - 7} }^{2} = {1}^{2} [/tex]

The square removes the square, we then have;

2x - 7 = 1

collect like terms

2x = 1 + 7

2x = 8

Make 'x' the subject

x = 8/2

x = 4

The value of x is 4

Thus, the value of x from the expression is 4

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