3=4.9(x^2)

Solution for 3=4.9(x^2) equation:

3=4.9(x^2)

We move all terms to the left:

3-(4.9(x^2))=0

We get rid of parentheses

-4.9x^2+3=0

a = -4.9; b = 0; c = +3;
Δ = b2-4ac
Δ = 02-4·(-4.9)·3
Δ = 58.8
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{58.8}}{2*-4.9}=\frac{0-\sqrt{58.8}}{-9.8}
=-\frac{\sqrt{}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{58.8}}{2*-4.9}=\frac{0+\sqrt{58.8}}{-9.8}
=\frac{\sqrt{}}{-9.8}
$