(x-2)x=60

Simple and best practice solution for (x-2)x=60 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)x=60 equation:



(x-2)x=60
We move all terms to the left:
(x-2)x-(60)=0
We multiply parentheses
x^2-2x-60=0
a = 1; b = -2; c = -60;
Δ = b2-4ac
Δ = -22-4·1·(-60)
Δ = 244
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:
$\sqrt{\Delta}=\sqrt{244}=\sqrt{4*61}=\sqrt{4}*\sqrt{61}=2\sqrt{61}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{61}}{2*1}=\frac{2-2\sqrt{61}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{61}}{2*1}=\frac{2+2\sqrt{61}}{2} $

See similar equations:

| (x-2)x=0 | | 3x^2-39+120=0 | | y/12=8/43 | | x÷9-4=-4 | | 7k-8k=20 | | x^2-0.7x-14.7=0 | | -11r+11(6r+4=44+10r | | 1.5r=- | | a-2/9=5/6 | | x/20=1/24 | | 3x^2+5x=600 | | 9/28=x/42 | | 5/8=2/3x | | (-0.5)(16)=x | | 2y-160=-3y | | (13)(-4)=x | | (4.2)(-5)=x | | F(x)=4x^2/2x+3 | | 30-(2c+4)=2(c+3)+3 | | (-5)(-15)=x | | 56^3+15b^2+12b=-36 | | 3x0.2=2x | | 5x×x-125=0 | | 50000=5000(10^.5x) | | 8x^2-19x+8=0 | | 100(.5)^x=1 | | x=33/12 | | 5(7-4p)=-30-7p | | 5(7-4p)=-30 | | -3(6-5n)=-108 | | 3+3(5n-7)=-108 | | 4x/2x-3=4 |

Equations solver categories