4x^2+12=40

Simple and best practice solution for 4x^2+12=40 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 4x^2+12=40 equation:



4x^2+12=40
We move all terms to the left:
4x^2+12-(40)=0
We add all the numbers together, and all the variables
4x^2-28=0
a = 4; b = 0; c = -28;
Δ = b2-4ac
Δ = 02-4·4·(-28)
Δ = 448
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:
$\sqrt{\Delta}=\sqrt{448}=\sqrt{64*7}=\sqrt{64}*\sqrt{7}=8\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{7}}{2*4}=\frac{0-8\sqrt{7}}{8} =-\frac{8\sqrt{7}}{8} =-\sqrt{7} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{7}}{2*4}=\frac{0+8\sqrt{7}}{8} =\frac{8\sqrt{7}}{8} =\sqrt{7} $

See similar equations:

| 2-(-6u+8)=-3u+3 | | (3x+15)(x+2)=0 | | 4x^2+12=12 | | 3t=4-t+2t^2 | | 7+2b=2 | | 6-3(5+x/2)=60 | | 3x^2+22x=45 | | 105=1/2((3x+15)(x+2)) | | 4(10)^0.2x/5=3 | | -6+3.2=-3x+4.4 | | -3x^2-21x+75=0 | | 4(x+3)+3x=-2 | | 105=(3x+15)(x+2) | | 3w+8(w-7)=-12 | | 8=5x+9 | | 3(y+8)+3y=12 | | x-(x*0.1)=637.88 | | 2x+96=8x+6 | | 3z+12=-7z+7+5z | | 6x2+10-17x=0 | | 12=4u+4 | | 9x=x+36 | | x+x+2=-26 | | 8+5x=12x+10 | | 3u-7=-4 | | x+2x=-26 | | 2+v/2=-8 | | x-(x*0.1)=501.19 | | a-3=a-9 | | x-(x*0.1)=515.93 | | 7b=-51 | | 85=(4x+1)*(x+1) |

Equations solver categories