x2+2x-48=-6

Simple and best practice solution for x2+2x-48=-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 x2+2x-48=-6 equation:



x2+2x-48=-6
We move all terms to the left:
x2+2x-48-(-6)=0
We add all the numbers together, and all the variables
x^2+2x-42=0
a = 1; b = 2; c = -42;
Δ = b2-4ac
Δ = 22-4·1·(-42)
Δ = 172
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:
$\sqrt{\Delta}=\sqrt{172}=\sqrt{4*43}=\sqrt{4}*\sqrt{43}=2\sqrt{43}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{43}}{2*1}=\frac{-2-2\sqrt{43}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{43}}{2*1}=\frac{-2+2\sqrt{43}}{2} $

See similar equations:

| 5x+(2x-10)+(x-30)=360 | | 3y+5=8(3)+13 | | 30=-2-(-2x6) | | -7x-2=-3x-14 | | 9.9=5.4+x | | 9x^2-2x-215=0 | | 6x+2x=2x-1 | | 9/x+1+3=-3 | | (9x+10)+(8x+13)=180 | | |d-9|=0 | | -8(5y+5)=5(-8y-8) | | 9x-4=79  | | |-4w|-4=8 | | 3x^2+16x=-24 | | Y=-7/8x+10 | | 5(4r+4)+5(2r+5)=195 | | 5x*(0.10)*5x=0 | | r/0.4=1.5 | | 5x(1/10)(5x)=0 | | 5x*0.1*5x=0 | | 10+22,7x=4,7x+18 | | (5x+13)+(4x+18)=180 | | 4(2r+3)-2r-7=17 | | 8/x=0.276 | | 5.9x-8=-9x-7 | | -4b=12=-4 | | 8/3x-7=9 | | –4=w−19 | | (9x+2)+(3x-14)=180 | | 16m+8=(+)= | | 7x+7=133 | | 16m+8=(+) |

Equations solver categories