5a^2+33a-56=0

Simple and best practice solution for 5a^2+33a-56=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 5a^2+33a-56=0 equation:



5a^2+33a-56=0
a = 5; b = 33; c = -56;
Δ = b2-4ac
Δ = 332-4·5·(-56)
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(33)-47}{2*5}=\frac{-80}{10} =-8 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+47}{2*5}=\frac{14}{10} =1+2/5 $

See similar equations:

| m-4=3m+2 | | z2+36=0 | | 22=(3x+2)(x-1) | | 5x-4x/3=4x/3=4x | | 14x+9=75 | | 7/4=t/8 | | 10(s-7)=-117 | | 50x+50=-2x+Q | | −8/3m=6 | | 3x-2+5x+11=360 | | X2-8x+12=12 | | 105=-7-8p | | X²+9x+18=0 | | -2x+50=-2x+Q | | 6x/8+2=x-1 | | 0=2u^2-64 | | 0.5x+2=-2x+4 | | 611​=n+97 | | 611​ =n+97 | | 8=4(3+x+5) | | 8x-2=-9=7 | | x-19*7=63 | | 3x²-30=0 | | 52/3=d-25/6 | | 8(4s+6)=208 | | 8(y+8)−4(y−5)=2(y−3)8(y+8)−4(y−5)=2(y−3) | | 22=x(x-2) | | 3x2-30x=0 | | 3(a-4)=60 | | v+33/4=14 | | 34/5=5x-21 | | X+5/8=x-9/5 |

Equations solver categories