x^2-7x+19=0

Simple and best practice solution for x^2-7x+19=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 x^2-7x+19=0 equation: 


Simplifying
x2 + -7x + 19 = 0

Reorder the terms:
19 + -7x + x2 = 0

Solving
19 + -7x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-19' to each side of the equation.
19 + -7x + -19 + x2 = 0 + -19

Reorder the terms:
19 + -19 + -7x + x2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -7x + x2 = 0 + -19
-7x + x2 = 0 + -19

Combine like terms: 0 + -19 = -19
-7x + x2 = -19

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -19 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -19 + 12.25

Combine like terms: -19 + 12.25 = -6.75
12.25 + -7x + x2 = -6.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -6.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -7x+8=-9+4 | | 9n+4+3n^2-0.75=6m-12+4m+4 | | 2n+2p=1-2 | | 3x^2-8=235 | | x^2+18+82=25 | | -4(T-4)+7T=5T-3 | | m+2m+1= | | 12a+3b= | | -5(T-2)+7T=5T-1 | | 2n+2p= | | 10y=2y+90 | | 2n+2p=12 | | 165+0.05x=75+0.15 | | i^11=x | | 165+0.05x=75+0.10 | | (19.8-r)6.2=37.7r-49.2 | | -5=4-3h | | 2n=2p | | -3(T-4)+5T=4T-9 | | -5=4-4h | | 0.18(Y-2)+0.04Y=0.20Y-0.01(40) | | 5x-y=36 | | 8x+16=12x+9 | | (-3)(-4i)(5i)=x | | 132+(3x+9)=180 | | (3x-4y)2= | | 10.28=8y | | -3t-8+7t=34+34+9t-2 | | 11x-x^2=-80 | | -5.25+0.75y= | | 14s^2-2v=0 | | 4x-3y=21(-1) |

Equations solver categories