Question

Solve the equation for x. √x+5-3=4​

Answer 1

answer: x = 14

Step-by-step explanation:

Sqrt x + 5 - 3 = 4
Sqrt x + 2 = 4

Square both sides
x + 2 = 4^2
x + 2 = 16
x = 16 - 2
x = 14

Check:

Sqrt 14 + 5 - 3 = 4
Sqrt 16 = 4
4 = 4

Answer 2

x=4

Step-by-step explanation:

To solve for x, we must get x by itself on one side of the equation.

`√(x) +5-3=4`

First, we can combine like terms on the left side. Subtract 3 from 5.

`√(x) +(5-3)=4`

`√(x) +2=4`

2 is being added on to the square root of x. The inverse of addition is subtraction. Subtract 2 from both sides of the equation.

`√(x) +2-2=4-2`

`√(x) = 4-2`

`√(x) =2`

The square root of x is being taken. The inverse of a square root is a square. Square both sides of the equation.

`(√(x) )^(2) =2^2`

`x=2^2`

Evaluate the exponent.

2^2= 2*2 =4

`x=4`

Let's check our solution. Plug 4 in for x and solve.

`√(x) +5-3=4`

`√(4) +5-3=4`

`2+5-3=4`

`7-3=4`

`4=4`

Our solution checks out, so we know x=4 is correct.