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25x^2-11x-81=0
a = 25; b = -11; c = -81;
Δ = b2-4ac
Δ = -112-4·25·(-81)
Δ = 8221
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{8221}}{2*25}=\frac{11-\sqrt{8221}}{50} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{8221}}{2*25}=\frac{11+\sqrt{8221}}{50} $
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