42x2-1x-56=0

Solution for 42x2-1x-56=0 equation:

42x^2-1x-56=0

a = 42; b = -1; c = -56;
Δ = b2-4ac
Δ = -12-4·42·(-56)
Δ = 9409
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9409}=97$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-97}{2*42}=\frac{-96}{84}
=-1+1/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+97}{2*42}=\frac{98}{84}
=1+1/6
$