4.9x^2=700

Solution for 4.9x^2=700 equation:

4.9x^2=700

We move all terms to the left:

4.9x^2-(700)=0

a = 4.9; b = 0; c = -700;
Δ = b2-4ac
Δ = 02-4·4.9·(-700)
Δ = 13720
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{13720}=\sqrt{4*3430}=\sqrt{4}*\sqrt{3430}=2\sqrt{3430}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{3430}}{2*4.9}=\frac{0-2\sqrt{3430}}{9.8}
=-\frac{2\sqrt{3430}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{3430}}{2*4.9}=\frac{0+2\sqrt{3430}}{9.8}
=\frac{2\sqrt{3430}}{9.8}
$