8x^2-25=367

Solution for 8x^2-25=367 equation:

8x^2-25=367

We move all terms to the left:

8x^2-25-(367)=0

We add all the numbers together, and all the variables

8x^2-392=0

a = 8; b = 0; c = -392;
Δ = b2-4ac
Δ = 02-4·8·(-392)
Δ = 12544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12544}=112$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-112}{2*8}=\frac{-112}{16}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+112}{2*8}=\frac{112}{16}
=7
$