(x^2/4)-1.5x+0.51=0

Solution for (x^2/4)-1.5x+0.51=0 equation:

(x^2/4)-1.5x+0.51=0

We add all the numbers together, and all the variables

-1.5x+(x^2/4)+0.51=0

We get rid of parentheses

x^2/4-1.5x+0.51=0

We multiply all the terms by the denominator


x^2-(1.5x)*4+(0.51)*4=0

We add all the numbers together, and all the variables

x^2-(+1.5x)*4+(0.51)*4=0

We add all the numbers together, and all the variables

x^2-(+1.5x)*4+2.04=0

We multiply parentheses

x^2-4x+2.04=0

a = 1; b = -4; c = +2.04;
Δ = b2-4ac
Δ = -42-4·1·2.04
Δ = 7.84
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{-(-4)-\sqrt{7.84}}{2*1}=\frac{4-\sqrt{7.84}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+\sqrt{7.84}}{2*1}=\frac{4+\sqrt{7.84}}{2}
$