-4.9x^2+14.7x+1=0

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Solution for -4.9x^2+14.7x+1=0 equation: 



-4.9x^2+14.7x+1=0

a = -4.9; b = 14.7; c = +1;
Δ = b2-4ac
Δ = 14.72-4·(-4.9)·1
Δ = 235.69
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{-(14.7)-\sqrt{235.69}}{2*-4.9}=\frac{-14.7-\sqrt{235.69}}{-9.8}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14.7)+\sqrt{235.69}}{2*-4.9}=\frac{-14.7+\sqrt{235.69}}{-9.8}
$

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