(x)(x+1)=48

Simple and best practice solution for (x)(x+1)=48 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 (x)(x+1)=48 equation:



(x)(x+1)=48
We move all terms to the left:
(x)(x+1)-(48)=0
We multiply parentheses
x^2+x-48=0
a = 1; b = 1; c = -48;
Δ = b2-4ac
Δ = 12-4·1·(-48)
Δ = 193
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{193}}{2*1}=\frac{-1-\sqrt{193}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{193}}{2*1}=\frac{-1+\sqrt{193}}{2} $

See similar equations:

| 5b=27+8(b−3 | | 6(6-e=6) | | 25x=205 | | 2x+7-3x=5/2 | | 4(x-8)=-8(-x-13) | | 2a-31=-99a+24 | | –p+11=26 | | p/5+29=34 | | 8r+18=66 | | 9k+(-12)=-39 | | 2m-5+m=25 | | 5(b+2)=-5(3b+11) | | x+12+6x-20=90 | | 2x=40+2x | | 5x-1=3x=19 | | У=2x-20x+33 | | 16b=-80 | | 5x-12+3x+6=90 | | 7n+6.9=-4.8n-3.1 | | –p+74=1 | | 10+10x=2+4x= | | 4(u-4)-4=-3(-5u+5)-u | | 1/7x-1/7=0 | | 7s^2-210s=2800 | | 4rr=3 | | -p^2-3p=-2 | | 2(5x-10=4(2x-5) | | 3x+2(x×x)=147 | | −12x−2=-7x-17 | | (5t+)4t+18=42 | | 42=18+t4(t+5) | | 2-(500/x^2)=0 |

Equations solver categories