x^2-21.74x=-15.75

Simple and best practice solution for x^2-21.74x=-15.75 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^2-21.74x=-15.75 equation: 


Simplifying
x2 + -21.74x = -15.75

Reorder the terms:
-21.74x + x2 = -15.75

Solving
-21.74x + x2 = -15.75

Solving for variable 'x'.

Reorder the terms:
15.75 + -21.74x + x2 = -15.75 + 15.75

Combine like terms: -15.75 + 15.75 = 0.00
15.75 + -21.74x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '-15.75' to each side of the equation.
15.75 + -21.74x + -15.75 + x2 = 0.00 + -15.75

Reorder the terms:
15.75 + -15.75 + -21.74x + x2 = 0.00 + -15.75

Combine like terms: 15.75 + -15.75 = 0.00
0.00 + -21.74x + x2 = 0.00 + -15.75
-21.74x + x2 = 0.00 + -15.75

Combine like terms: 0.00 + -15.75 = -15.75
-21.74x + x2 = -15.75

The x term is -21.74x.  Take half its coefficient (-10.87).
Square it (118.1569) and add it to both sides.

Add '118.1569' to each side of the equation.
-21.74x + 118.1569 + x2 = -15.75 + 118.1569

Reorder the terms:
118.1569 + -21.74x + x2 = -15.75 + 118.1569

Combine like terms: -15.75 + 118.1569 = 102.4069
118.1569 + -21.74x + x2 = 102.4069

Factor a perfect square on the left side:
(x + -10.87)(x + -10.87) = 102.4069

Calculate the square root of the right side: 10.11962944

Break this problem into two subproblems by setting 
(x + -10.87) equal to 10.11962944 and -10.11962944.


Subproblem 1
x + -10.87 = 10.11962944

Simplifying
x + -10.87 = 10.11962944

Reorder the terms:
-10.87 + x = 10.11962944

Solving
-10.87 + x = 10.11962944

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10.87' to each side of the equation.
-10.87 + 10.87 + x = 10.11962944 + 10.87

Combine like terms: -10.87 + 10.87 = 0.00
0.00 + x = 10.11962944 + 10.87
x = 10.11962944 + 10.87

Combine like terms: 10.11962944 + 10.87 = 20.98962944
x = 20.98962944

Simplifying
x = 20.98962944


Subproblem 2
x + -10.87 = -10.11962944

Simplifying
x + -10.87 = -10.11962944

Reorder the terms:
-10.87 + x = -10.11962944

Solving
-10.87 + x = -10.11962944

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10.87' to each side of the equation.
-10.87 + 10.87 + x = -10.11962944 + 10.87

Combine like terms: -10.87 + 10.87 = 0.00
0.00 + x = -10.11962944 + 10.87
x = -10.11962944 + 10.87

Combine like terms: -10.11962944 + 10.87 = 0.75037056
x = 0.75037056

Simplifying
x = 0.75037056


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {20.98962944, 0.75037056}

See similar equations:

| 331/2= | | 4.26n=17.04 | | 10+7x=-8+x | | 0.76+0.04r=0.26r+0.10 | | 0.76+0.04r=0.26+0.10 | | (11)+(-9)= | | 60+7y=85 | | 3x+17=11x-4 | | 0.7x-0.2=0.6x+4 | | 4h+10= | | y=3x^2-18x+25 | | H(x)=-16x^2+48x+6 | | 2y^2-7y=0 | | 120/7.5 | | (-10)-(+10)= | | 3x-20x+16=6 | | 6r+7=13+r | | x^2-1x=6x+30 | | 3(x-4)+2=2x-5(3x-6) | | 16x+2-8x-1-x=40+16-10 | | 5x-13=23-7x | | (x+18)square=625 | | 3y+14=20 | | 12b-36=12 | | 2x=96-14y | | (-10)-(-1)= | | Lnx^4=12 | | y+(-12)=40 | | -c-(-10)=40 | | -c-(-10)=10 | | 2n+24=2n+18+6 | | k-9= 9 |

Equations solver categories