If it's not what You are looking for type in the equation solver your own equation and let us solve it.
x2-6x=11
We move all terms to the left:
x2-6x-(11)=0
We add all the numbers together, and all the variables
x^2-6x-11=0
a = 1; b = -6; c = -11;
Δ = b2-4ac
Δ = -62-4·1·(-11)
Δ = 80
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{80}=\sqrt{16*5}=\sqrt{16}*\sqrt{5}=4\sqrt{5}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-4\sqrt{5}}{2*1}=\frac{6-4\sqrt{5}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+4\sqrt{5}}{2*1}=\frac{6+4\sqrt{5}}{2} $
| 90+4x-12+5x-24=180 | | x+16=-30 | | 10n+90=8n | | (v+4)(4v+3)=0 | | 18d-12d=12 | | 12=k-4.3 | | 6n-6=2 | | 2-3(9x+-15)=2(3x+-5) | | -24=-12a | | 3^x-2=41 | | 12b-3b-8b=20 | | 1/x+3x+12/x^2-5x=7x-56/x^2-5x | | x²+3x-2.25=0 | | -47+y=-57 | | x+-42=-91 | | 3+4n=23 | | 0.25(4+x)=4/3 | | 5(m-1)^2-4=746 | | 19+y=4 | | 6=7x-1 | | ¼(4+x)=4/3 | | q/26=15 | | -16/3=-8u | | 20p+p-21p+3p-p=12 | | -22=a-2 | | -9x=6=x+4 | | 2c+4.6=8.6c= | | -6x-6+2x+5=23 | | 2,000(x-0.03)=6000 | | 1+2(-5x+7)=95 | | -4m-m+11m=-8 | | -2(3g-1)=8 |