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(9+w)(9-w)=0
We add all the numbers together, and all the variables
(w+9)(-1w+9)=0
We multiply parentheses ..
(-1w^2+9w-9w+81)=0
We get rid of parentheses
-1w^2+9w-9w+81=0
We add all the numbers together, and all the variables
-1w^2+81=0
a = -1; b = 0; c = +81;
Δ = b2-4ac
Δ = 02-4·(-1)·81
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{324}=18$$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18}{2*-1}=\frac{-18}{-2} =+9 $$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18}{2*-1}=\frac{18}{-2} =-9 $
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