7.5x^2-16x+7.5=0

Solution for 7.5x^2-16x+7.5=0 equation:

7.5x^2-16x+7.5=0

a = 7.5; b = -16; c = +7.5;
Δ = b2-4ac
Δ = -162-4·7.5·7.5
Δ = 31
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-\sqrt{31}}{2*7.5}=\frac{16-\sqrt{31}}{15}
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$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+\sqrt{31}}{2*7.5}=\frac{16+\sqrt{31}}{15}
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