Y=4.9x^2+5x-760

Solution for Y=4.9x^2+5x-760 equation:

=4.9Y^2+5Y-760

We move all terms to the left:

-(4.9Y^2+5Y-760)=0

We get rid of parentheses

-4.9Y^2-5Y+760=0

a = -4.9; b = -5; c = +760;
Δ = b2-4ac
Δ = -52-4·(-4.9)·760
Δ = 14921
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{14921}=\sqrt{1*14921}=\sqrt{1}*\sqrt{14921}=1\sqrt{14921}$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-1\sqrt{14921}}{2*-4.9}=\frac{5-1\sqrt{14921}}{-9.8}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+1\sqrt{14921}}{2*-4.9}=\frac{5+1\sqrt{14921}}{-9.8}
$