4.9x^2-30x-50=0

Solution for 4.9x^2-30x-50=0 equation:

4.9x^2-30x-50=0

a = 4.9; b = -30; c = -50;
Δ = b2-4ac
Δ = -302-4·4.9·(-50)
Δ = 1880
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:

$\sqrt{\Delta}=\sqrt{1880}=\sqrt{4*470}=\sqrt{4}*\sqrt{470}=2\sqrt{470}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-2\sqrt{470}}{2*4.9}=\frac{30-2\sqrt{470}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+2\sqrt{470}}{2*4.9}=\frac{30+2\sqrt{470}}{9.8}
$