y=y^2-6y+8.75

Solution for y=y^2-6y+8.75 equation:

y=y^2-6y+8.75

We move all terms to the left:

y-(y^2-6y+8.75)=0

We get rid of parentheses

-y^2+y+6y-8.75=0

We add all the numbers together, and all the variables

-1y^2+7y-8.75=0

a = -1; b = 7; c = -8.75;
Δ = b2-4ac
Δ = 72-4·(-1)·(-8.75)
Δ = 14
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{14}}{2*-1}=\frac{-7-\sqrt{14}}{-2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{14}}{2*-1}=\frac{-7+\sqrt{14}}{-2}
$