-4.9x^2+34.3+1=0

Solution for -4.9x^2+34.3+1=0 equation:

-4.9x^2+34.3+1=0

We add all the numbers together, and all the variables

-4.9x^2+35.3=0

a = -4.9; b = 0; c = +35.3;
Δ = b2-4ac
Δ = 02-4·(-4.9)·35.3
Δ = 691.88
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{691.88}}{2*-4.9}=\frac{0-\sqrt{691.88}}{-9.8}
=-\frac{\sqrt{}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{691.88}}{2*-4.9}=\frac{0+\sqrt{691.88}}{-9.8}
=\frac{\sqrt{}}{-9.8}
$