51=x2

Simple and best practice solution for 51=x2 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 51=x2 equation:



51=x2
We move all terms to the left:
51-(x2)=0
We add all the numbers together, and all the variables
-1x^2+51=0
a = -1; b = 0; c = +51;
Δ = b2-4ac
Δ = 02-4·(-1)·51
Δ = 204
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:
$\sqrt{\Delta}=\sqrt{204}=\sqrt{4*51}=\sqrt{4}*\sqrt{51}=2\sqrt{51}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{51}}{2*-1}=\frac{0-2\sqrt{51}}{-2} =-\frac{2\sqrt{51}}{-2} =-\frac{\sqrt{51}}{-1} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{51}}{2*-1}=\frac{0+2\sqrt{51}}{-2} =\frac{2\sqrt{51}}{-2} =\frac{\sqrt{51}}{-1} $

See similar equations:

| 1-4k-5k=1 | | 2p1=23 | | 12+k=4k+8-8 | | B+1=2a | | -5-7x=-14-3x-7x | | -5-7x=-143x-7x | | 2x^2–98=0 | | 10^-6x=100^1-2x | | 1=1+7r+r | | 98+x=67+3x | | 2a=9=19 | | -5.1=u/3 | | F(x)=2x^2-48x | | a–17–8=–8 | | (-3,4)/m=-1/2 | | (x)/(12)+18=30 | | 4m-5m=-2 | | x+0.06x=42.4 | | b+8+2b+74+b+b=06b+3 | | w/6+2=0 | | -4r+5+6r=5 | | x/3+16=14 | | 5p—14=8p+4 | | 9p+5=-67 | | a/17=7 | | -2(q-19)=4 | | Y=7-3xx=2 | | 44=i-38 | | 5y+19=-1 | | 5−6x=17−8x | | 4y+-20=40 | | (d)/(6)+3=9 |

Equations solver categories