13x2-91=13

Simple and best practice solution for 13x2-91=13 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 13x2-91=13 equation:



13x^2-91=13
We move all terms to the left:
13x^2-91-(13)=0
We add all the numbers together, and all the variables
13x^2-104=0
a = 13; b = 0; c = -104;
Δ = b2-4ac
Δ = 02-4·13·(-104)
Δ = 5408
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:
$\sqrt{\Delta}=\sqrt{5408}=\sqrt{2704*2}=\sqrt{2704}*\sqrt{2}=52\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-52\sqrt{2}}{2*13}=\frac{0-52\sqrt{2}}{26} =-\frac{52\sqrt{2}}{26} =-2\sqrt{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+52\sqrt{2}}{2*13}=\frac{0+52\sqrt{2}}{26} =\frac{52\sqrt{2}}{26} =2\sqrt{2} $

See similar equations:

| -7-4=6x+10-5x | | 4n-(3+2n)=21 | | -14=-7x+3(x-2) | | (2t2-5t-1)=(3t2-6t+4) | | -6u+4(u+8)=14 | | 507=-5p-8(8p-3) | | 8x+1-5x=25 | | -9-6x=-8-5x | | 7+(-5b)=-23 | | 3x/5-0,5=1,9 | | 2x(5x-13)=-12 | | x/4+7=-8 | | 93=-3-2(-5x-8) | | 8x+6-7x=10 | | 22x+6=3x-2 | | 18x+6=3x-2 | | x3+3=576 | | 3x-5(x-3)=-8+5x+2 | | x=13+2/3 | | x/36=-18+25 | | 0=12x^2-48x+32 | | -7x^2+18x-8=0 | | 6s+30-30=180-30 | | 10x-82/3=8x | | (x-2)(x+1)=(x-2)(x+2) | | 55=10-x | | -5(-2+3v)=-110 | | 4(2x+6)−6(2x−8)=11x+3(5x−8) | | -15=-7+w/2 | | 21=7z-13z-21 | | 100-40x=0 | | 4v+4=12 |

Equations solver categories