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
Step-by-step explanation:
