4/5a-2+0.5a=11

Simple and best practice solution for 4/5a-2+0.5a=11 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 4/5a-2+0.5a=11 equation:



4/5a-2+0.5a=11
We move all terms to the left:
4/5a-2+0.5a-(11)=0
Domain of the equation: 5a!=0
a!=0/5
a!=0
a∈R
We add all the numbers together, and all the variables
0.5a+4/5a-13=0
We multiply all the terms by the denominator
(0.5a)*5a-13*5a+4=0
We add all the numbers together, and all the variables
(+0.5a)*5a-13*5a+4=0
We multiply parentheses
0a^2-13*5a+4=0
Wy multiply elements
0a^2-65a+4=0
We add all the numbers together, and all the variables
a^2-65a+4=0
a = 1; b = -65; c = +4;
Δ = b2-4ac
Δ = -652-4·1·4
Δ = 4209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-65)-\sqrt{4209}}{2*1}=\frac{65-\sqrt{4209}}{2} $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-65)+\sqrt{4209}}{2*1}=\frac{65+\sqrt{4209}}{2} $

See similar equations:

| 2×+35=5x-22 | | 5x=10^3 | | (x-1)(x+2)=84 | | x+65=54 | | Z=10+i | | 2x3-18=6-x3 | | 3r=90− | | 19=6(3)^x | | 4(x+1)+2(x-2)=18 | | 5(2x-3)=-9 | | 4^x-5=11^6x | | 90+51+2x+11=180 | | 3(x-7)=27+4x | | 42+108+x+14=180 | | -6(3-x)+4=5x-11 | | 1=b4−2 | | 2x=×+10 | | -3=3b-3 | | 1.3=7/x | | 88=11z−11z= | | 88=11z−11,z= | | 40d=•60+20d | | e/4=10e= | | 4^x-3.2^(x+1)=8 | | 7b=b= | | r4=68 | | -5-9(1+3n)=-25 | | 3(x+4)-6=-3 | | 2x+3=30° | | 8p=148 | | 2(x−4)=−22 | | 4^x-3.2^x+1=8 |

Equations solver categories