Y=-3E-15x2+5E-23x+1

Solution for Y=-3E-15x2+5E-23x+1 equation:

=-3-15Y^2+5-23Y+1

We move all terms to the left:

-(-3-15Y^2+5-23Y+1)=0

We get rid of parentheses

15Y^2+23Y+3-5-1=0

We add all the numbers together, and all the variables

15Y^2+23Y-3=0

a = 15; b = 23; c = -3;
Δ = b2-4ac
Δ = 232-4·15·(-3)
Δ = 709
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{-(23)-\sqrt{709}}{2*15}=\frac{-23-\sqrt{709}}{30}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+\sqrt{709}}{2*15}=\frac{-23+\sqrt{709}}{30}
$