(4+5/2)x=8

Solution for (4+5/2)x=8 equation:

(4+5/2)x=8

We move all terms to the left:

(4+5/2)x-(8)=0


Domain of the equation: 2)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(5/2+4)x-8=0

We multiply parentheses

5x^2+4x-8=0

a = 5; b = 4; c = -8;
Δ = b2-4ac
Δ = 42-4·5·(-8)
Δ = 176
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:

$\sqrt{\Delta}=\sqrt{176}=\sqrt{16*11}=\sqrt{16}*\sqrt{11}=4\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4\sqrt{11}}{2*5}=\frac{-4-4\sqrt{11}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4\sqrt{11}}{2*5}=\frac{-4+4\sqrt{11}}{10}
$