-a2+19a-90=0

Simple and best practice solution for -a2+19a-90=0 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 -a2+19a-90=0 equation:



-a2+19a-90=0
We add all the numbers together, and all the variables
-1a^2+19a-90=0
a = -1; b = 19; c = -90;
Δ = b2-4ac
Δ = 192-4·(-1)·(-90)
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(19)-1}{2*-1}=\frac{-20}{-2} =+10 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(19)+1}{2*-1}=\frac{-18}{-2} =+9 $

See similar equations:

| 11-5a=5111–5a=51 | | 4(5x+8)=-108 | | 5(m-2)^2=35 | | A+14+23=b+28+16 | | 60-20+y=-12+9(y-4) | | -4(2n-5)=12+10n | | 11x+1=-6+12x | | 21=-3w-6 | | –7y+14=-35 | | -2(x-5)+7=35 | | 2x-2(3x-1)=8 | | 5(-2x-1)=-105 | | -19g+13g=18 | | 13=2x-41 | | x–14=40 | | 1/6x-4=20 | | 6(z+4)=4(z-3) | | 3(3x+8)=9x-6 | | 4x+2(3-x)=16 | | -5z6z=11 | | 5q-16=6q | | 0.5(21+0.4)=0.2x+7.7+0.02x | | 60=-3(y-4) | | 6x+2x^2=176 | | 10e+28=-2(e+10) | | 10d-d=-13+31 | | 27=12x-3 | | 64x^2-4=12 | | 5c=–4+6c | | -9=k6 | | 6c+4(2-2c)=0 | | 12x+10=12x=10 |

Equations solver categories