9x^2-34x-55=0

Solution for 9x^2-34x-55=0 equation:

9x^2-34x-55=0

a = 9; b = -34; c = -55;
Δ = b2-4ac
Δ = -342-4·9·(-55)
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-34)-56}{2*9}=\frac{-22}{18}
=-1+2/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34)+56}{2*9}=\frac{90}{18}
=5
$