4x^2/2-x=1,32

Solution for 4x^2/2-x=1,32 equation:

4x^2/2-x=1.32

We move all terms to the left:

4x^2/2-x-(1.32)=0

We add all the numbers together, and all the variables

4x^2/2-1x-1.32=0

We multiply all the terms by the denominator


4x^2-1x*2-(1.32)*2=0

We add all the numbers together, and all the variables

4x^2-1x*2-2.64=0

Wy multiply elements

4x^2-2x-2.64=0

a = 4; b = -2; c = -2.64;
Δ = b2-4ac
Δ = -22-4·4·(-2.64)
Δ = 46.24
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{-(-2)-\sqrt{46.24}}{2*4}=\frac{2-\sqrt{46.24}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+\sqrt{46.24}}{2*4}=\frac{2+\sqrt{46.24}}{8}
$