8(x*x)+17x-25=0

Solution for 8(x*x)+17x-25=0 equation:

8(x*x)+17x-25=0

We add all the numbers together, and all the variables

8(+x*x)+17x-25=0

We add all the numbers together, and all the variables

17x+8(+x*x)-25=0

We multiply parentheses

8x^2+17x-25=0

a = 8; b = 17; c = -25;
Δ = b2-4ac
Δ = 172-4·8·(-25)
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-33}{2*8}=\frac{-50}{16}
=-3+1/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+33}{2*8}=\frac{16}{16}
=1
$