4r^2+11=9r

Simple and best practice solution for 4r^2+11=9r 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 4r^2+11=9r equation:


Simplifying
4r2 + 11 = 9r

Reorder the terms:
11 + 4r2 = 9r

Solving
11 + 4r2 = 9r

Solving for variable 'r'.

Reorder the terms:
11 + -9r + 4r2 = 9r + -9r

Combine like terms: 9r + -9r = 0
11 + -9r + 4r2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
2.75 + -2.25r + r2 = 0

Move the constant term to the right:

Add '-2.75' to each side of the equation.
2.75 + -2.25r + -2.75 + r2 = 0 + -2.75

Reorder the terms:
2.75 + -2.75 + -2.25r + r2 = 0 + -2.75

Combine like terms: 2.75 + -2.75 = 0.00
0.00 + -2.25r + r2 = 0 + -2.75
-2.25r + r2 = 0 + -2.75

Combine like terms: 0 + -2.75 = -2.75
-2.25r + r2 = -2.75

The r term is -2.25r.  Take half its coefficient (-1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
-2.25r + 1.265625 + r2 = -2.75 + 1.265625

Reorder the terms:
1.265625 + -2.25r + r2 = -2.75 + 1.265625

Combine like terms: -2.75 + 1.265625 = -1.484375
1.265625 + -2.25r + r2 = -1.484375

Factor a perfect square on the left side:
(r + -1.125)(r + -1.125) = -1.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -8+2x=-24+x | | 5/8=11/y | | -16f=19f-5(6f+9) | | 2y+98= | | 16.8-v=v | | -2x+19=15 | | y-10.1=3.6 | | 11x+7=7x+15 | | -10(a-4)-7=133 | | -9x=(-14.4)2 | | 2-8x+3x= | | 12x-24=7x+5 | | 2/9y=7/18 | | X^2=8+4x | | -n-2.5=9 | | 1-3*7+4*2= | | 1.35t^2=30t | | 7000/1000=200/x | | 18v+8=160-v | | g(x)=f(-x)+8 | | =1/3 | | 9xyz/81z | | =3/1 | | -n+21n=-5 | | -6(2x-5)=9(x+1) | | 4(y-8)+2y=14 | | -457.5(-0.01)= | | 100+30m=1600 | | 24x^5/56x | | 4(x-8)+2x=14 | | 4(x-1)=8(2-x) | | 1.4+.4e=.2e-0.8 |

Equations solver categories