11x^2-45x+78=0

Simple and best practice solution for 11x^2-45x+78=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 11x^2-45x+78=0 equation:


Simplifying
11x2 + -45x + 78 = 0

Reorder the terms:
78 + -45x + 11x2 = 0

Solving
78 + -45x + 11x2 = 0

Solving for variable 'x'.

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

Divide each side by '11'.
7.090909091 + -4.090909091x + x2 = 0

Move the constant term to the right:

Add '-7.090909091' to each side of the equation.
7.090909091 + -4.090909091x + -7.090909091 + x2 = 0 + -7.090909091

Reorder the terms:
7.090909091 + -7.090909091 + -4.090909091x + x2 = 0 + -7.090909091

Combine like terms: 7.090909091 + -7.090909091 = 0.000000000
0.000000000 + -4.090909091x + x2 = 0 + -7.090909091
-4.090909091x + x2 = 0 + -7.090909091

Combine like terms: 0 + -7.090909091 = -7.090909091
-4.090909091x + x2 = -7.090909091

The x term is -4.090909091x.  Take half its coefficient (-2.045454546).
Square it (4.183884300) and add it to both sides.

Add '4.183884300' to each side of the equation.
-4.090909091x + 4.183884300 + x2 = -7.090909091 + 4.183884300

Reorder the terms:
4.183884300 + -4.090909091x + x2 = -7.090909091 + 4.183884300

Combine like terms: -7.090909091 + 4.183884300 = -2.907024791
4.183884300 + -4.090909091x + x2 = -2.907024791

Factor a perfect square on the left side:
(x + -2.045454546)(x + -2.045454546) = -2.907024791

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 10s(s-4)=-74 | | 3b-6.3=6 | | 45-23+16=x | | 6(3x-2)-(3x-2)=0 | | 45-23+16= | | 1+3x=3+x | | 3x-14y+8=0 | | bx-a(kx+l)=ab | | 6(3x-2)=0 | | 350x+400x=1500 | | 3m+4(m-6)x-3x(m-7)=m | | -(c-8)=4 | | 4log(x-3)=8 | | 2x^4-17-9=0 | | 1=.33(9t+3) | | (5+x)3-4(x+7)=9x+(7-x)4 | | 3x+4(x-6)-3(x-7)=x | | 6+78x=39+18 | | 3x+1=8x-1 | | (6u+5v-2)(7u+3v)= | | 3x+4(-6)-3(x-7)=x | | 27-5x=7-7x | | 5t^2-47t=27 | | 4y-5x-2=0 | | 3(3a+2)-1=8 | | 2t-10=t+15 | | 4x+14=-56-6x | | X^4-2x^3-x^2-2x-2=0 | | x+4x=135000 | | 4(x-2)-3(x+2)=3 | | 0.5(.5)+79= | | f(x)=x^3-2x^2-5 |

Equations solver categories