3=x2-5=78

Simple and best practice solution for 3=x2-5=78 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 3=x2-5=78 equation:



3=x2-5=78
We move all terms to the left:
3-(x2-5)=0
We add all the numbers together, and all the variables
-(+x^2-5)+3=0
We get rid of parentheses
-x^2+5+3=0
We add all the numbers together, and all the variables
-1x^2+8=0
a = -1; b = 0; c = +8;
Δ = b2-4ac
Δ = 02-4·(-1)·8
Δ = 32
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:
$\sqrt{\Delta}=\sqrt{32}=\sqrt{16*2}=\sqrt{16}*\sqrt{2}=4\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{2}}{2*-1}=\frac{0-4\sqrt{2}}{-2} =-\frac{4\sqrt{2}}{-2} =-\frac{2\sqrt{2}}{-1} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{2}}{2*-1}=\frac{0+4\sqrt{2}}{-2} =\frac{4\sqrt{2}}{-2} =\frac{2\sqrt{2}}{-1} $

See similar equations:

| x+5x+4x=0 | | 3x=7×-6 | | 2x(13+4x)=0 | | 5n-9-12n=6n+24 | | X-15+3x+x+30=180 | | 12x-11=-6x+27 | | 12(x−8)=48+7x | | 3x(-5+6x)=0 | | 3x^2-100x+400=0 | | 11+5x=2(−x+3)−9 | | 70x-x2=74.99 | | 2x(-13)-3(-7)=9 | | 20-8.1=d | | 8(y-2)+6=7y+2+y | | -z+14-13z=-14z+20 | | -13-16j=-16j-13 | | 13-4d=7-4d | | (x+3)(x+12)=12(x+18) | | 9-3n=3n-9 | | -p+20-2p=20+10p | | 6c-2=-7+6c | | 8+4v=4v+8 | | 4x+5/7=-7 | | 2j+1=9+2j | | 8-x/4=19 | | -10f-10=-10-10f | | 10+9r=-10+4r | | $60.1/4=x | | -7-2z=-6z-7 | | -6x=3=12 | | 7g+8=7g-10 | | 3y-25=y+8 |

Equations solver categories