If it's not what You are looking for type in the equation solver your own equation and let us solve it.
=-2H^2+9H+1
We move all terms to the left:
-(-2H^2+9H+1)=0
We get rid of parentheses
2H^2-9H-1=0
a = 2; b = -9; c = -1;
Δ = b2-4ac
Δ = -92-4·2·(-1)
Δ = 89
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$H_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$H_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-\sqrt{89}}{2*2}=\frac{9-\sqrt{89}}{4} $$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{89}}{2*2}=\frac{9+\sqrt{89}}{4} $
| -3x^2+12x+231=0 | | n-6=56 | | 4t-68=3t-95 | | 700=6000+4.75*a | | 2+z/3=5 | | 5^6x-7=625 | | 8^(x-1)=16^3x | | 2.25/x=54 | | 2c-63=c-20 | | 1=r-4 | | 1+2b—13=12-4b-2b | | 3x-3=8x-13 | | A+17=2a+12 | | 3x2-10x=0 | | 5a-37=a+19 | | (5x-4)^3=27 | | 2x-60=2x+8 | | 6/7x=9/2 | | 0=7/y+9 | | -1/10+9=16x-3x-7x | | 5-3x+5x=-8=6=9x | | 2000=6000+4.75*a | | 4x2+30x+36=0 | | 2p-60=2p+8 | | 81+x=136 | | 22x-17=12x=8 | | 2x+53=180 | | (1)-(-4)+(4)(2)x=0 | | 2x-53=180 | | 10x80=10 | | 2p+8=2p-60 | | -2(5+b)=-22 |