4x^2-85x=465

Simple and best practice solution for 4x^2-85x=465 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^2-85x=465 equation: 



4x^2-85x=465

We move all terms to the left:

4x^2-85x-(465)=0

a = 4; b = -85; c = -465;
Δ = b2-4ac
Δ = -852-4·4·(-465)
Δ = 14665
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-85)-\sqrt{14665}}{2*4}=\frac{85-\sqrt{14665}}{8}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-85)+\sqrt{14665}}{2*4}=\frac{85+\sqrt{14665}}{8}
$

See similar equations:

| 0,8x=8 | | 7-b=19 | | 8z–1=3 | | 12n+6=9n-15 | | 0.5x-6=-18 | | -7+(9v+4)=31 | | 4(p-3)=5p+1 | | 3(×-1)-x=3+2(x-3) | | -15x-83=x–19 | | 3x+3-x+-7=6 | | x2169=0 | | 0.2X+1.5=0.25-0.3x | | 8x-3=2x-7 | | 8n+7=6n-9 | | 34+4y-6=14y-14-4y | | 2p(3p-1)=0 | | 8n=32,n= | | x-3=1+x+x | | ​6​​7​​=​24​​k−11​​ | | a+0.3=−2 | | E^2x-3=0 | | 62.5=x(11-2x)(8.5-2x) | | 3x+3-2x=x+3 | | 1/2(6+8x)=x+21 | | 20+17=-6+15w | | 4x2+5x-7=2x2-4 | | y(10-y)=40 | | E2x-3=0 | | 4x^2-(2-5x^2)=0.5x^2 | | 90-2x=70-1.5x | | 1/3(3x-6)^3+4=13 | | 1=314.019418x+24673.20799626468*x*x |

Equations solver categories