5x2+8x-21=0

Simple and best practice solution for 5x2+8x-21=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 5x2+8x-21=0 equation:



5x^2+8x-21=0
a = 5; b = 8; c = -21;
Δ = b2-4ac
Δ = 82-4·5·(-21)
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-22}{2*5}=\frac{-30}{10} =-3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+22}{2*5}=\frac{14}{10} =1+2/5 $

See similar equations:

| (2x+1)2=0 | | 2^2x+4-9(2x)=0 | | 4x2+10x+6=0 | | x2-6x-16=0 | | 9=2x=5x-6 | | 8w-28=24 | | 3x+8=8+4x | | 4a-5=3+3*12a= | | 3b+13=313 | | 4a-5=3+3*12 | | x^2+22x+157=0 | | 6x-14=-x | | 360=r(7.5) | | 6a3+7a2+2a=0 | | 5.6=2.81v. | | (2x+3)(2x-3)=9 | | 4x+5=6-7 | | 22+x=20 | | t^2-128t+192=0 | | 250000=1.5x+x | | x-0.2x=259 | | 4x-3(19/39)=3 | | 35=5x+3 | | 35=5x+5 | | x-0.2x=219 | | 12n2+48n=−n3−64 | | x-0.2x=239 | | (8x+9)(3x-13)=0 | | x-0.2x=179 | | L2.5h-15=4h | | 27t^2-15t-28=0 | | 8*((9/2)-8)=y |

Equations solver categories