4.9x^2+30x+45.9=0

Solution for 4.9x^2+30x+45.9=0 equation:

4.9x^2+30x+45.9=0

a = 4.9; b = 30; c = +45.9;
Δ = b2-4ac
Δ = 302-4·4.9·45.9
Δ = 0.36000000000001
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{-(30)-\sqrt{0.36000000000001}}{2*4.9}=\frac{-30-\sqrt{0.36000000000001}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+\sqrt{0.36000000000001}}{2*4.9}=\frac{-30+\sqrt{0.36000000000001}}{9.8}
$