X(2x-9)=84

Simple and best practice solution for X(2x-9)=84 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(2x-9)=84 equation:



X(2X-9)=84
We move all terms to the left:
X(2X-9)-(84)=0
We multiply parentheses
2X^2-9X-84=0
a = 2; b = -9; c = -84;
Δ = b2-4ac
Δ = -92-4·2·(-84)
Δ = 753
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{-(-9)-\sqrt{753}}{2*2}=\frac{9-\sqrt{753}}{4} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{753}}{2*2}=\frac{9+\sqrt{753}}{4} $

See similar equations:

| 6n=7.61 | | 2.49+1.24=n+11.17 | | 6x-5=-15 | | -3x+36=-2(-3-x) | | 4(½+3)=3x+12-x | | 21g=84 A. g=4 B. g=3 C. g=5 | | -3a+36=-2(-3-a | | X×10y=260 | | 12x-15-4x=-3x+9 | | 2k+2=-5 | | 12x-15-4x=-3x+9-3x+9 | | -4x-2x=-7(2x-5)-8(4-x)* | | 7x+6x=127 | | (9n+2)+34=90 | | -7x÷3=14 | | -7(1-3x)=7(-4+6x) | | 1.5x+3.5x=-25 | | 2x-48=3/8 | | 2x-x/3+1=14 | | 7m-(m-3)=-(1-6m)+4 | | x^2/8=288 | | 3/1/10s=61/5 | | (3+x)(2x-5)=78 | | -n/12+5=-9 | | 3x^2+x22x+7=0 | | -5(3k+2)+3k=4k+2(-8k-5) | | 90=5(4+2k) | | 5(7+x)=5(1+x) | | 2(n+10)=5(n+11) | | 10000=600*(1+10r) | | 113+40+x=180 | | 6(5x-4)=3x-24 |

Equations solver categories