49a^2-14a-24=0

Solution for 49a^2-14a-24=0 equation:

49a^2-14a-24=0

a = 49; b = -14; c = -24;
Δ = b2-4ac
Δ = -142-4·49·(-24)
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-70}{2*49}=\frac{-56}{98}
=-4/7
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+70}{2*49}=\frac{84}{98}
=6/7
$