112=1.75x^2

Solution for 112=1.75x^2 equation:

112=1.75x^2

We move all terms to the left:

112-(1.75x^2)=0

We get rid of parentheses

-1.75x^2+112=0

a = -1.75; b = 0; c = +112;
Δ = b2-4ac
Δ = 02-4·(-1.75)·112
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28}{2*-1.75}=\frac{-28}{-3.5}
=+8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28}{2*-1.75}=\frac{28}{-3.5}
=-8
$