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(9x-5)(9x-5)=25
We move all terms to the left:
(9x-5)(9x-5)-(25)=0
We multiply parentheses ..
(+81x^2-45x-45x+25)-25=0
We get rid of parentheses
81x^2-45x-45x+25-25=0
We add all the numbers together, and all the variables
81x^2-90x=0
a = 81; b = -90; c = 0;
Δ = b2-4ac
Δ = -902-4·81·0
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{8100}=90$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-90)-90}{2*81}=\frac{0}{162} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-90)+90}{2*81}=\frac{180}{162} =1+1/9 $
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