Q^2-8Q+10=0

Simple and best practice solution for Q^2-8Q+10=0 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 Q^2-8Q+10=0 equation: 


Simplifying
Q2 + -8Q + 10 = 0

Reorder the terms:
10 + -8Q + Q2 = 0

Solving
10 + -8Q + Q2 = 0

Solving for variable 'Q'.

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -8Q + -10 + Q2 = 0 + -10

Reorder the terms:
10 + -10 + -8Q + Q2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -8Q + Q2 = 0 + -10
-8Q + Q2 = 0 + -10

Combine like terms: 0 + -10 = -10
-8Q + Q2 = -10

The Q term is -8Q.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8Q + 16 + Q2 = -10 + 16

Reorder the terms:
16 + -8Q + Q2 = -10 + 16

Combine like terms: -10 + 16 = 6
16 + -8Q + Q2 = 6

Factor a perfect square on the left side:
(Q + -4)(Q + -4) = 6

Calculate the square root of the right side: 2.449489743

Break this problem into two subproblems by setting 
(Q + -4) equal to 2.449489743 and -2.449489743.


Subproblem 1
Q + -4 = 2.449489743

Simplifying
Q + -4 = 2.449489743

Reorder the terms:
-4 + Q = 2.449489743

Solving
-4 + Q = 2.449489743

Solving for variable 'Q'.

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

Add '4' to each side of the equation.
-4 + 4 + Q = 2.449489743 + 4

Combine like terms: -4 + 4 = 0
0 + Q = 2.449489743 + 4
Q = 2.449489743 + 4

Combine like terms: 2.449489743 + 4 = 6.449489743
Q = 6.449489743

Simplifying
Q = 6.449489743


Subproblem 2
Q + -4 = -2.449489743

Simplifying
Q + -4 = -2.449489743

Reorder the terms:
-4 + Q = -2.449489743

Solving
-4 + Q = -2.449489743

Solving for variable 'Q'.

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

Add '4' to each side of the equation.
-4 + 4 + Q = -2.449489743 + 4

Combine like terms: -4 + 4 = 0
0 + Q = -2.449489743 + 4
Q = -2.449489743 + 4

Combine like terms: -2.449489743 + 4 = 1.550510257
Q = 1.550510257

Simplifying
Q = 1.550510257


Solution
The solution to the problem is based on the solutions
from the subproblems.
Q = {6.449489743, 1.550510257}

See similar equations:

| 3a+1=41-2a | | 2a+5=7a-3 | | 7-3(3a-4)=10 | | 2x+7x=21 | | r/(r+10.2)=12.6/25.1 | | 4(n+5)=32 | | q=-20+4p | | 4(2a+3)+2(5a-1)=28 | | Solvem-7=12 | | 3x/11-9=3 | | -5-11(-2)+(-3)(-4)-(-6)= | | (x+6)(x+6)=29 | | (x+6)2=29 | | 25x(x+1)=6 | | 2x-13x-24=0 | | ln(x+6)+ln(x+4)=2 | | -3x^2+8=0 | | (x+2)*(x-6)=84 | | (x+2)x(x-6)=84 | | (x+1)*(x-1)=e | | x+2y=56 | | (1-a)*x^2+(ac-c)*x+ab=0 | | y=x^2-6x+14 | | 12-8x=10x+15 | | -147-8x=10x+15 | | 5z-52=z-16 | | 3y-36=2y-18 | | 105-3x=4x+14 | | 2x+5=23-y | | 3(2x+9)=2(x-12)-1 | | x=-14+0.5y | | 2x+5=y-23 |

Equations solver categories