4x2=52

Simple and best practice solution for 4x2=52 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 4x2=52 equation:



4x^2=52
We move all terms to the left:
4x^2-(52)=0
a = 4; b = 0; c = -52;
Δ = b2-4ac
Δ = 02-4·4·(-52)
Δ = 832
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:
$\sqrt{\Delta}=\sqrt{832}=\sqrt{64*13}=\sqrt{64}*\sqrt{13}=8\sqrt{13}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{13}}{2*4}=\frac{0-8\sqrt{13}}{8} =-\frac{8\sqrt{13}}{8} =-\sqrt{13} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{13}}{2*4}=\frac{0+8\sqrt{13}}{8} =\frac{8\sqrt{13}}{8} =\sqrt{13} $

See similar equations:

| 3y+20=90 | | -6(6n+1)=-78 | | a+15=3a+7 | | 1-x/4=x-1/5 | | -8+12v=52 | | 1/3m-15=6 | | 3/(x-1)=2/(x+7) | | 6x+4=5(3×+8 | | 5x9-x=x | | -2x-15=-27 | | 18-(0.5x-2)=x | | 6n+65=180 | | x*4+116=360 | | (6x-2)+(4x-2)=180 | | 13m-(5m-11)=-13 | | x4+116=360 | | 3x(4+6)+3=20 | | 10(z+1)-2(z-2)=3(z-1)+4(z-2) | | 1.5y+2.5=10 | | 11x=72+2x | | 2(5x-3)+16=30 | | -6(3x+2=2x-5-20x-7 | | 6x+4x-1=2(5x+9) | | 2n-6=4n-5 | | 2(x+4)^2=6 | | 11x+8=11x-7 | | 3+2x-(-x+1)=3x-6 | | 3-40x+10=6-2x+4 | | 5x-41=64 | | t-34t=24 | | -1x=0.5x+20 | | 2/3x+62=180 |

Equations solver categories