Question

Solve the equation x^2 = 26 ​

Answer 1

Answer:

x=±$\sqrt{26}$

Step-by-step explanation:

1 - Rewrite

$x^2 = 26$

2 - Square root both sides to get the value of just x alone

$\sqrt{x^2} = \sqrt{26}$

3 - Give 26 a ± and simplify

$x=$ ±$\sqrt{26}$

Answer 2

Answer:

x = ± √26 = ± 5.0990

Step-by-step explanation:

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

                    x^2-(26)=0

Step by step solution :

STEP

1

:

Trying to factor as a Difference of Squares:

1.1      Factoring:  x2-26

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 : 26 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 - 26  = 0

STEP

2

:

Solving a Single Variable Equation:

2.1      Solve  :    x2-26 = 0

Add  26  to both sides of the equation :

                     x2 = 26

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

                     x  =  ± √ 26  

The equation has two real solutions  

These solutions are  x = ± √26 = ± 5.0990