5x2-6-2=0

Simple and best practice solution for 5x2-6-2=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 5x2-6-2=0 equation:



5x^2-6-2=0
We add all the numbers together, and all the variables
5x^2-8=0
a = 5; b = 0; c = -8;
Δ = b2-4ac
Δ = 02-4·5·(-8)
Δ = 160
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:
$\sqrt{\Delta}=\sqrt{160}=\sqrt{16*10}=\sqrt{16}*\sqrt{10}=4\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{10}}{2*5}=\frac{0-4\sqrt{10}}{10} =-\frac{4\sqrt{10}}{10} =-\frac{2\sqrt{10}}{5} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{10}}{2*5}=\frac{0+4\sqrt{10}}{10} =\frac{4\sqrt{10}}{10} =\frac{2\sqrt{10}}{5} $

See similar equations:

| 2x2-100x=0 | | 1/4+2/5=x | | 3=-3+36x= | | x^+7x+12=0 | | 6(-6-3r)=34-8r | | 29.95+0.79d=91.57 | | 39/7=78/m | | 17 = b4+ 14 | | b/7=8/16 | | 0=4.9t^2-12t-40 | | 12x^2-42x+108=0 | | 5a+13=5(a+4) | | 6=4+2s | | -3(x+10)+2x=30 | | 30=w+5w | | 2/22=3/x | | 2x+6=48+X | | 15x+100=280 | | -6(x+7)-2=-16+8x | | 2y=10-3y=2y | | -11/12+p=1/6 | | 16+r/5=36 | | H(t)=120t-16t^2 | | 12x^2-42x+180=0 | | 6.4=t/2.5 | | 4(6-2b)-4b=-14+7b | | Y=2xx12 | | 8v-10=10v | | -3-2(-8k-6)=-119 | | s*4-26=54 | | 49a^2−56a+16=0 | | 5x*1/2=4 |

Equations solver categories