How do you solve X/2-5=10

Answer: x2-5=10

Two solutions were found:

x = ± √15 = ± 3.8730

Reformatting the input:

Changes made to your input should not affect the solution:

(1) : "x2" was replaced by "x^2".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:

x^2-5 - (10) = 0

Step by step solution:

Step 1:

Trying to factor as a Difference of Squares:

1.1 Factoring: x2-15

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 15 is not a square!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step 1:

x2 - 15 = 0

Step 2:

Solving a Single Variable Equation:

2.1 Solve : x2-15 = 0

Add 15 to both sides of the equation:

x2 = 15

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:

x = ± √ 15

The equation has two real solutions

These solutions are x = ± √15 = ± 3.8730

Two solutions were found:

x = ± √15 = ± 3.8730