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x^2=11x-25
We move all terms to the left:
x^2-(11x-25)=0
We get rid of parentheses
x^2-11x+25=0
a = 1; b = -11; c = +25;
Δ = b2-4ac
Δ = -112-4·1·25
Δ = 21
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-\sqrt{21}}{2*1}=\frac{11-\sqrt{21}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{21}}{2*1}=\frac{11+\sqrt{21}}{2} $
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