If it's not what You are looking for type in the equation solver your own equation and let us solve it.
x^2+4x+1=81
We move all terms to the left:
x^2+4x+1-(81)=0
We add all the numbers together, and all the variables
x^2+4x-80=0
a = 1; b = 4; c = -80;
Δ = b2-4ac
Δ = 42-4·1·(-80)
Δ = 336
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{336}=\sqrt{16*21}=\sqrt{16}*\sqrt{21}=4\sqrt{21}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4\sqrt{21}}{2*1}=\frac{-4-4\sqrt{21}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4\sqrt{21}}{2*1}=\frac{-4+4\sqrt{21}}{2} $
| -7x=10+(-2×) | | 8q-15=-3 | | 5=0.1x*(10-x) | | 2t/3-3t/8=7/12 | | (5x-11)+(2x-20)+(180-(11x-63))=180 | | 3z-1/5=3+z/7 | | 6(1-4y)=53-7(2+5y) | | 0.25(x+4)=5/2 | | x+2x+x/3+x+13=39 | | E^(2x+4)=5 | | X/6+X+8/4=1+x-6/3 | | x=0.35(100-x) | | 3x+8=2×+12 | | X-6/4-x-4/6=1-x/12 | | 8(3x+4)=64 | | 9(2x-4)=81 | | 10n-213=2n-13 | | 1+5n=-19+n | | 3y-18=7-2y | | 2n-1=10n-73 | | 5n+32=15n-78 | | y+12=57 | | -18+x=20 | | -5(x-8)=35 | | 2x-6+4x+3=9 | | 3v^2+36v+4=8v | | 0.25(4b+12b)=1.5(4b-28) | | n+1.1-1.1=22.3 | | 0.75x24=x | | y-7.7=21 | | 7+x=x+3+4 | | 60(7x+14)=170-(x+2) |