9=7/2x2+6

Simple and best practice solution for 9=7/2x2+6 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 9=7/2x2+6 equation:



9=7/2x^2+6
We move all terms to the left:
9-(7/2x^2+6)=0
Domain of the equation: 2x^2+6)!=0
x∈R
We get rid of parentheses
-7/2x^2-6+9=0
We multiply all the terms by the denominator
-6*2x^2+9*2x^2-7=0
Wy multiply elements
-12x^2+18x^2-7=0
We add all the numbers together, and all the variables
6x^2-7=0
a = 6; b = 0; c = -7;
Δ = b2-4ac
Δ = 02-4·6·(-7)
Δ = 168
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:
$\sqrt{\Delta}=\sqrt{168}=\sqrt{4*42}=\sqrt{4}*\sqrt{42}=2\sqrt{42}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{42}}{2*6}=\frac{0-2\sqrt{42}}{12} =-\frac{2\sqrt{42}}{12} =-\frac{\sqrt{42}}{6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{42}}{2*6}=\frac{0+2\sqrt{42}}{12} =\frac{2\sqrt{42}}{12} =\frac{\sqrt{42}}{6} $

See similar equations:

| 51=5y-9 | | -12=6(v+5)+8v | | -38+8m=(4+5m)+4 | | 7-n=6n | | 2+2x-2=7-2 | | x+16+6=31 | | y^2-9y+120=0 | | 30=5x+100 | | x+1/3-x-1/2=1 | | 3y-9=20y+42 | | 0.377=2E-05x+0.029 | | 1/4(x-5)=-1 | | 74/7v=-106 | | 2.2=z−1.12 | | -21=-7w+5(w-7) | | (4x^2-49x+12)(6x-1)=0 | | -6+3/5m=-11 | | 5x-5x+30=-4(-4x)+20-x+20 | | 7t-3=6t+7 | | 3(3x+4=66 | | (x-12)(4x-1)(6x-1)=0 | | 60=q+9 | | 2x+4=3(x-2)+2 | | 6x-18=4x+26 | | 10x^2+132x-23=0 | | 8b+8b+2b=2b+16 | | 1-x-5x-5=-6x-4 | | -3(3-8v)=-201 | | 3+a/3=17 | | -10–n=8–10n | | 32x=16 | | -11(m+10)=33+2m |

Equations solver categories