64x^2-24x-154=0

Solution for 64x^2-24x-154=0 equation:

64x^2-24x-154=0

a = 64; b = -24; c = -154;
Δ = b2-4ac
Δ = -242-4·64·(-154)
Δ = 40000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40000}=200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-200}{2*64}=\frac{-176}{128}
=-1+3/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+200}{2*64}=\frac{224}{128}
=1+3/4
$