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X2-169X+3600=0
We add all the numbers together, and all the variables
X^2-169X+3600=0
a = 1; b = -169; c = +3600;
Δ = b2-4ac
Δ = -1692-4·1·3600
Δ = 14161
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{14161}=119$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-169)-119}{2*1}=\frac{50}{2} =25 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-169)+119}{2*1}=\frac{288}{2} =144 $
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