43=9.8x^2

Solution for 43=9.8x^2 equation:

43=9.8x^2

We move all terms to the left:

43-(9.8x^2)=0

We get rid of parentheses

-9.8x^2+43=0

a = -9.8; b = 0; c = +43;
Δ = b2-4ac
Δ = 02-4·(-9.8)·43
Δ = 1685.6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{1685.6}}{2*-9.8}=\frac{0-\sqrt{1685.6}}{-19.6}
=-\frac{\sqrt{}}{-19.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1685.6}}{2*-9.8}=\frac{0+\sqrt{1685.6}}{-19.6}
=\frac{\sqrt{}}{-19.6}
$