R+R^2-3.18=0

Simple and best practice solution for R+R^2-3.18=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 R+R^2-3.18=0 equation: 


Simplifying
R + R2 + -3.18 = 0

Reorder the terms:
-3.18 + R + R2 = 0

Solving
-3.18 + R + R2 = 0

Solving for variable 'R'.

Begin completing the square.

Move the constant term to the right:

Add '3.18' to each side of the equation.
-3.18 + R + 3.18 + R2 = 0 + 3.18

Reorder the terms:
-3.18 + 3.18 + R + R2 = 0 + 3.18

Combine like terms: -3.18 + 3.18 = 0.00
0.00 + R + R2 = 0 + 3.18
R + R2 = 0 + 3.18

Combine like terms: 0 + 3.18 = 3.18
R + R2 = 3.18

The R term is R.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
R + 0.25 + R2 = 3.18 + 0.25

Reorder the terms:
0.25 + R + R2 = 3.18 + 0.25

Combine like terms: 3.18 + 0.25 = 3.43
0.25 + R + R2 = 3.43

Factor a perfect square on the left side:
(R + 0.5)(R + 0.5) = 3.43

Calculate the square root of the right side: 1.852025918

Break this problem into two subproblems by setting 
(R + 0.5) equal to 1.852025918 and -1.852025918.


Subproblem 1
R + 0.5 = 1.852025918

Simplifying
R + 0.5 = 1.852025918

Reorder the terms:
0.5 + R = 1.852025918

Solving
0.5 + R = 1.852025918

Solving for variable 'R'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + R = 1.852025918 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + R = 1.852025918 + -0.5
R = 1.852025918 + -0.5

Combine like terms: 1.852025918 + -0.5 = 1.352025918
R = 1.352025918

Simplifying
R = 1.352025918


Subproblem 2
R + 0.5 = -1.852025918

Simplifying
R + 0.5 = -1.852025918

Reorder the terms:
0.5 + R = -1.852025918

Solving
0.5 + R = -1.852025918

Solving for variable 'R'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + R = -1.852025918 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + R = -1.852025918 + -0.5
R = -1.852025918 + -0.5

Combine like terms: -1.852025918 + -0.5 = -2.352025918
R = -2.352025918

Simplifying
R = -2.352025918


Solution
The solution to the problem is based on the solutions
from the subproblems.
R = {1.352025918, -2.352025918}

See similar equations:

| 12-6+53+7=(-13-16)+43 | | 4(2c+2)=(2c+8) | | 4x+5(2x-3)=9(x-5) | | 3x-15+2x+7= | | -10(-3x-3)=5(5x-4) | | 25+4x=20+6x | | -5=-5+-5 | | 3(x-2)-(5x+4)= | | 8(h+6)*2= | | -2+r=-2+2r | | y+m=k | | 6x+55=0 | | .25x=1 | | 5r^2=40r | | 75.00+25.00x=40x | | 0.4k=2k+1.2 | | 75.00+25.00x=162.50 | | 0=3x^2+7x+2 | | -2(x+3)-3(2-2x)=-6 | | 75.00+25.00=162.50 | | 20x^8-13x^6+19x^5=0 | | 6(x-4)=-8(x+3)+44 | | 10b-3=b+15 | | 4y^2=-2y+2 | | 6x-7y=-15 | | x+8y=-6 | | o=x-2 | | 4x-2=-3x+33 | | x+y+9z=-12 | | 5x^4-2x^2+2=0 | | 1.872-2.9=x | | 12y-y=8y+3y-9 |

Equations solver categories