If it's not what You are looking for type in the equation solver your own equation and let us solve it.
x(x-2)=77
We move all terms to the left:
x(x-2)-(77)=0
We multiply parentheses
x^2-2x-77=0
a = 1; b = -2; c = -77;
Δ = b2-4ac
Δ = -22-4·1·(-77)
Δ = 312
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{312}=\sqrt{4*78}=\sqrt{4}*\sqrt{78}=2\sqrt{78}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{78}}{2*1}=\frac{2-2\sqrt{78}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{78}}{2*1}=\frac{2+2\sqrt{78}}{2} $
| x+9/3=11 | | 10b=9b-14 | | -11+13w=9+12w | | 7(9x+1)=196 | | 8b-12=2b-6 | | -9v-4=-8v-2v-7 | | 6x+3+3x+15=90 | | 80-7.39x=43.05 | | 7n=8n+8 | | -9-7g+10=-8g+10 | | 17.99+0.83x=156.60 | | 3x+2x=216 | | (3/4)m+(1/8)m-6=15 | | 31+(x+4)+(3x+9)=180 | | 2+0.12x=17.84 | | 8x+11x=435 | | 6b+10=4b-10 | | 6x-26=3x+7 | | -5x+20+7=-28 | | 10+c=-4c | | -4-7m=-10-9m | | 8=v*2 | | 4v=3v+2 | | 15-9x=11.49 | | 0=1+5x | | (2x-3)+115=90 | | b+6+6=2b+8 | | r=-r-6 | | 3(x-2)+4(4x-1)=0 | | 90-7.29x=68.13 | | 6x+74=56 | | 7c=5+8c |