X^2-(7.6)x+4=0

Solution for X^2-(7.6)x+4=0 equation:

X^2-(7.6)X+4=0

We multiply parentheses

X^2-7.6X+4=0

a = 1; b = -7.6; c = +4;
Δ = b2-4ac
Δ = -7.62-4·1·4
Δ = 41.76
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{-(-7.6)-\sqrt{41.76}}{2*1}=\frac{7.6-\sqrt{41.76}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7.6)+\sqrt{41.76}}{2*1}=\frac{7.6+\sqrt{41.76}}{2}
$