7.5x^2-9.5=0

Solution for 7.5x^2-9.5=0 equation:

7.5x^2-9.5=0

a = 7.5; b = 0; c = -9.5;
Δ = b2-4ac
Δ = 02-4·7.5·(-9.5)
Δ = 285
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{-(0)-\sqrt{285}}{2*7.5}=\frac{0-\sqrt{285}}{15}
=-\frac{\sqrt{}}{15}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{285}}{2*7.5}=\frac{0+\sqrt{285}}{15}
=\frac{\sqrt{}}{15}
$