-24x^2+154x+98=0

Solution for -24x^2+154x+98=0 equation:

-24x^2+154x+98=0

a = -24; b = 154; c = +98;
Δ = b2-4ac
Δ = 1542-4·(-24)·98
Δ = 33124
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{33124}=182$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(154)-182}{2*-24}=\frac{-336}{-48}
=+7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(154)+182}{2*-24}=\frac{28}{-48}
=-7/12
$