Y=7x^2-1.5

Solution for Y=7x^2-1.5 equation:

=7Y^2-1.5

We move all terms to the left:

-(7Y^2-1.5)=0

We get rid of parentheses

-7Y^2+1.5=0

a = -7; b = 0; c = +1.5;
Δ = b2-4ac
Δ = 02-4·(-7)·1.5
Δ = 42
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{-(0)-\sqrt{42}}{2*-7}=\frac{0-\sqrt{42}}{-14}
=-\frac{\sqrt{}}{-14}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{42}}{2*-7}=\frac{0+\sqrt{42}}{-14}
=\frac{\sqrt{}}{-14}
$