9x+x^2=20

Simple and best practice solution for 9x+x^2=20 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 9x+x^2=20 equation:


Simplifying
9x + x2 = 20

Solving
9x + x2 = 20

Solving for variable 'x'.

Reorder the terms:
-20 + 9x + x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 9x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '20' to each side of the equation.
-20 + 9x + 20 + x2 = 0 + 20

Reorder the terms:
-20 + 20 + 9x + x2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 9x + x2 = 0 + 20
9x + x2 = 0 + 20

Combine like terms: 0 + 20 = 20
9x + x2 = 20

The x term is 9x.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9x + 20.25 + x2 = 20 + 20.25

Reorder the terms:
20.25 + 9x + x2 = 20 + 20.25

Combine like terms: 20 + 20.25 = 40.25
20.25 + 9x + x2 = 40.25

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = 40.25

Calculate the square root of the right side: 6.34428877

Break this problem into two subproblems by setting 
(x + 4.5) equal to 6.34428877 and -6.34428877.

Subproblem 1

x + 4.5 = 6.34428877 Simplifying x + 4.5 = 6.34428877 Reorder the terms: 4.5 + x = 6.34428877 Solving 4.5 + x = 6.34428877 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + x = 6.34428877 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = 6.34428877 + -4.5 x = 6.34428877 + -4.5 Combine like terms: 6.34428877 + -4.5 = 1.84428877 x = 1.84428877 Simplifying x = 1.84428877

Subproblem 2

x + 4.5 = -6.34428877 Simplifying x + 4.5 = -6.34428877 Reorder the terms: 4.5 + x = -6.34428877 Solving 4.5 + x = -6.34428877 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + x = -6.34428877 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = -6.34428877 + -4.5 x = -6.34428877 + -4.5 Combine like terms: -6.34428877 + -4.5 = -10.84428877 x = -10.84428877 Simplifying x = -10.84428877

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.84428877, -10.84428877}

See similar equations:

| x+(x+1)+(x+2)=25 | | 6x+19y+4+12x-6y+10= | | (2x)2-16= | | y=(4-3x)(2-x/3) | | 5x^2-88x-240=0 | | X+6x+8x=0 | | B^2+18b-25=0 | | 55=18 | | 9y^2-3y/3y-1 | | y=(6x)(6x)+2x | | 2-5x=-22 | | -3(4-x)+1=19 | | -5.2x-3.4= | | 2x+24=3+5x-6 | | 2p^2-72=7p | | 5/12-4/3= | | x^5-37=0 | | 5r^2-3r-8=0 | | (-5.2)(-3.4)= | | 2(x^2)-x-231=0 | | 4(x+4)=5x+8 | | 20x+16y=39 | | 3x-8=5(3x-4) | | -8(x-4)=-4(x-13) | | 7(x-8)+4=7x+8 | | y=2x^3+6x^2-18x-1 | | 2n^2-2n=4 | | 4x^3+18x^2-3=0 | | 8*9/2= | | 2-5lnx=-5 | | 14-(5*1)= | | (3+5)*6= |

Equations solver categories