8x2+4x-16=0

Simple and best practice solution for 8x2+4x-16=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 8x2+4x-16=0 equation:



8x^2+4x-16=0
a = 8; b = 4; c = -16;
Δ = b2-4ac
Δ = 42-4·8·(-16)
Δ = 528
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:
$\sqrt{\Delta}=\sqrt{528}=\sqrt{16*33}=\sqrt{16}*\sqrt{33}=4\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4\sqrt{33}}{2*8}=\frac{-4-4\sqrt{33}}{16} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4\sqrt{33}}{2*8}=\frac{-4+4\sqrt{33}}{16} $

See similar equations:

| -26-12x=14 | | 4x+6+(6x+4)=90 | | -10=9x-8 | | x+2*3-x=0 | | 7m+2=-12 | | 89x+1=-88 | | x/9=14/15 | | x+1+(3x+1)=90 | | 5a-12=11 | | 1/2(-1.4+0.4)=m+0.2 | | 3/h=+1/2 | | 1/2x+2/3x=1/3x-3/2 | | 3(d+1)=12 | | 2/5+x=5/7 | | 3x+21=7x+4 | | 3x−3=2187 | | x^2+10x+5200=0 | | 210=15^x | | 43=2v+17 | | 1/3(x=3)=-9 | | h−h+2h+2=16 | | 2(x=4)=8 | | 5(t+1)=10 | | 5(x-4)=-20+5x | | x+2.4=17 | | 11v+3=14 | | 5×y=10+10 | | x/9=500000 | | 36^2+60x=17 | | q/6+5=17 | | 3x+10+5x=70 | | 4x+10=-×6 |

Equations solver categories