7x2-19=1556

Solution for 7x2-19=1556 equation:

7x^2-19=1556

We move all terms to the left:

7x^2-19-(1556)=0

We add all the numbers together, and all the variables

7x^2-1575=0

a = 7; b = 0; c = -1575;
Δ = b2-4ac
Δ = 02-4·7·(-1575)
Δ = 44100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{44100}=210$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-210}{2*7}=\frac{-210}{14}
=-15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+210}{2*7}=\frac{210}{14}
=15
$