Y=-4.9x^2+7x+37

Solution for Y=-4.9x^2+7x+37 equation:

=-4.9Y^2+7Y+37

We move all terms to the left:

-(-4.9Y^2+7Y+37)=0

We get rid of parentheses

4.9Y^2-7Y-37=0

a = 4.9; b = -7; c = -37;
Δ = b2-4ac
Δ = -72-4·4.9·(-37)
Δ = 774.2
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-\sqrt{774.2}}{2*4.9}=\frac{7-\sqrt{774.2}}{9.8}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{774.2}}{2*4.9}=\frac{7+\sqrt{774.2}}{9.8}
$