4.9(x^2)=78

Solution for 4.9(x^2)=78 equation:

4.9(x^2)=78

We move all terms to the left:

4.9(x^2)-(78)=0

a = 4.9; b = 0; c = -78;
Δ = b2-4ac
Δ = 02-4·4.9·(-78)
Δ = 1528.8
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{1528.8}}{2*4.9}=\frac{0-\sqrt{1528.8}}{9.8}
=-\frac{\sqrt{}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1528.8}}{2*4.9}=\frac{0+\sqrt{1528.8}}{9.8}
=\frac{\sqrt{}}{9.8}
$