x^2+13=5x

Simple and best practice solution for x^2+13=5x equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for x^2+13=5x equation:


Simplifying
x2 + 13 = 5x

Reorder the terms:
13 + x2 = 5x

Solving
13 + x2 = 5x

Solving for variable 'x'.

Reorder the terms:
13 + -5x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
13 + -5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -5x + -13 + x2 = 0 + -13

Reorder the terms:
13 + -13 + -5x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -5x + x2 = 0 + -13
-5x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13
-5x + x2 = -13

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -13 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -13 + 6.25

Combine like terms: -13 + 6.25 = -6.75
6.25 + -5x + x2 = -6.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -6.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 9x+6(30)=7(30x) | | 5x(5-8)+9=79 | | (1-x^2)=0 | | 140=4x | | ab+4a-2b-8=0 | | 5d-8=13 | | 5d+8=13 | | 15b^2+37b-8=0 | | 120+x+60+15+20=130+35+2x+0 | | y^2=9y^2+48y+64-64 | | 2x^5+4x^4-6x^3+4x^2-6x+4=0 | | (3x^4-8x^2-6x+12)+(4x^3-3x^2+7x-15)=0 | | x+y-z=4 | | 7-2.65z=4.4z | | 3x-7y+4z=11 | | 7x=y+4 | | 12x-4=5x+24 | | 2x+68=5z+119 | | -0.7x^3-2.4x^2+3.1x+4.1=0 | | -x+4=-(2x+2) | | -2x-3y-5=0 | | 16=23a+20 | | 0.5(5x-1)=8 | | 3y-9x=12 | | ln(2x+5)=1.5 | | -3x=-2x+14 | | 2x^2+2x+14=9x+9 | | 4x+4x=3x-8 | | -7(8-2n)=-126 | | 3x-8=4x+4x | | x+3+x+3=3x-1 | | 7x-6x-3=5+80 |

Equations solver categories