11.5/5(x)+2.44x=1089.08

Simple and best practice solution for 11.5/5(x)+2.44x=1089.08 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 11.5/5(x)+2.44x=1089.08 equation: 



11.5/5(x)+2.44x=1089.08

We move all terms to the left:

11.5/5(x)+2.44x-(1089.08)=0



Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R



We add all the numbers together, and all the variables

2.44x+11.5/5x-1089.08=0

We multiply all the terms by the denominator


(2.44x)*5x-(1089.08)*5x+11.5=0

We add all the numbers together, and all the variables

(+2.44x)*5x-(1089.08)*5x+11.5=0

We multiply parentheses

10x^2-5445.4x+11.5=0

a = 10; b = -5445.4; c = +11.5;
Δ = b2-4ac
Δ = -5445.42-4·10·11.5
Δ = 29651921.16
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{-(-5445.4)-\sqrt{29651921.16}}{2*10}=\frac{5445.4-\sqrt{29651921.16}}{20}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5445.4)+\sqrt{29651921.16}}{2*10}=\frac{5445.4+\sqrt{29651921.16}}{20}
$

See similar equations:

| -1.2=w/3+6.3 | | 50x700=35000 | | 20x+4=-14 | | 4.6x-6.7+7x=7.6x-15.5 | | -7(7n-8)=350 | | 0.6(3-6x)=-3(8x-4) | | 4(x2)-196=0 | | (4x-6)/10=4x-3 | | m+12.6=–24 | | 4c-18=7c | | 13x+24-11x=-48-6x | | 10x+24(x-4)=278 | | 1-4u=21 | | -4(-2x-5)=84 | | 3p/14=6/7 | | 11.50/5*x+2.44x=1089.08 | | -2(5x+3)=-6-+12 | | 4t-19=16-t | | -2(5x+3=-6-+12 | | 3p/2=-12 | | 105=7(x+7) | | 3x-2(2+3)=4x-100 | | -2x-10=2x+26 | | 6x+14=446x= | | -20k+20=-18k+5-15 | | 3(x2)-24x=0 | | -x-2/4=3x+6/2 | | -14-x=-70 | | x-8=16+4x | | 4t^2-11=2 | | 30=9-3u | | -552=-8(5-8r) |

Equations solver categories