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X2+X2=25X=4
We move all terms to the left:
X2+X2-(25X)=0
We add all the numbers together, and all the variables
2X^2-25X=0
a = 2; b = -25; c = 0;
Δ = b2-4ac
Δ = -252-4·2·0
Δ = 625
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{625}=25$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-25}{2*2}=\frac{0}{4} =0 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+25}{2*2}=\frac{50}{4} =12+1/2 $
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