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(1+9y)(1-9y)=0
We add all the numbers together, and all the variables
(9y+1)(-9y+1)=0
We multiply parentheses ..
(-81y^2+9y-9y+1)=0
We get rid of parentheses
-81y^2+9y-9y+1=0
We add all the numbers together, and all the variables
-81y^2+1=0
a = -81; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-81)·1
Δ = 324
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}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{324}=18$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18}{2*-81}=\frac{-18}{-162} =1/9 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18}{2*-81}=\frac{18}{-162} =-1/9 $
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