Question

Solve the equation the square root of the quantity x minus 6 plus 2 equals 6 for the variable. Show each step of your solution process.

Answer 1

I'm hoping this is what your equation looks like because it's the one I am going to solve! $\sqrt{x-6}+2=6$. Begin by subtracting 2 from both sides to get $\sqrt{x-6}=4$. To undo that square root we have to square it. But because this is an equation, if we square the left side we also have to square the right side. Squaring the left side leaves us with x - 6, and squaring the right side gives us 16. x - 6 = 16. Add 6 to both sides and x = 22

Answer 2

The value of x is 10

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given equation:

√(x+6) +2=6

Remove 2 from above by subtracting 2 on both side

√(x+6) +2-2=6-2

√(x+6)=4

Now, shift the root of LHS to RHS and make square of 4.

(x+6) =4²

(x+6) =16

Now, to remove 6 subtract 6 from side

x+6-6=16-6

x=10

Hence, the value of x is 10.

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