4x+13=x2-4

Simple and best practice solution for 4x+13=x2-4 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 4x+13=x2-4 equation:



4x+13=x2-4
We move all terms to the left:
4x+13-(x2-4)=0
We add all the numbers together, and all the variables
-(+x^2-4)+4x+13=0
We get rid of parentheses
-x^2+4x+4+13=0
We add all the numbers together, and all the variables
-1x^2+4x+17=0
a = -1; b = 4; c = +17;
Δ = b2-4ac
Δ = 42-4·(-1)·17
Δ = 84
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{84}=\sqrt{4*21}=\sqrt{4}*\sqrt{21}=2\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-2\sqrt{21}}{2*-1}=\frac{-4-2\sqrt{21}}{-2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+2\sqrt{21}}{2*-1}=\frac{-4+2\sqrt{21}}{-2} $

See similar equations:

| 8n-2=9+7n | | 42+42+2x+1=180 | | 4x+20-4x-40=80 | | 4x+20-4x-40=70 | | 4x+20-4x-40=75 | | 1x+3=2x+4. | | 8+10p=-32 | | 4x+20-4x-40=55 | | 4x+20-4x-40=45 | | 16.5h=132 | | 4x+20-4x-40=50 | | 6.0+y=9.0 | | q/3=5 | | 3(-2y+6)+4=-8 | | 4x+20-4x-40=60 | | 1x+3=4x+0. | | 88=2(2+6a) | | 2x+16=5x | | 2x-5x=6.3=14.4 | | 8x-1+43=0 | | -108=-6(5a+8) | | 34-2x=100 | | q+23/5=8 | | 352=8(8b-4) | | 98=-2(6x-2)-2 | | 3x=2x=60 | | 7(-3-2v)=91 | | 8x-1+6+15=0 | | 2(k-71)=44 | | Z+y=6 | | -9x(x+5)=0 | | -115=-3(3v+8)-4v |

Equations solver categories