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64=y^2-4y+4
We move all terms to the left:
64-(y^2-4y+4)=0
We get rid of parentheses
-y^2+4y-4+64=0
We add all the numbers together, and all the variables
-1y^2+4y+60=0
a = -1; b = 4; c = +60;
Δ = b2-4ac
Δ = 42-4·(-1)·60
Δ = 256
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{256}=16$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-16}{2*-1}=\frac{-20}{-2} =+10 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+16}{2*-1}=\frac{12}{-2} =-6 $
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