4.9x^2-32x+30=0

Solution for 4.9x^2-32x+30=0 equation:

4.9x^2-32x+30=0

a = 4.9; b = -32; c = +30;
Δ = b2-4ac
Δ = -322-4·4.9·30
Δ = 436
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:

$\sqrt{\Delta}=\sqrt{436}=\sqrt{4*109}=\sqrt{4}*\sqrt{109}=2\sqrt{109}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-2\sqrt{109}}{2*4.9}=\frac{32-2\sqrt{109}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+2\sqrt{109}}{2*4.9}=\frac{32+2\sqrt{109}}{9.8}
$