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10x^2+x-54=0
a = 10; b = 1; c = -54;
Δ = b2-4ac
Δ = 12-4·10·(-54)
Δ = 2161
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{-(1)-\sqrt{2161}}{2*10}=\frac{-1-\sqrt{2161}}{20} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{2161}}{2*10}=\frac{-1+\sqrt{2161}}{20} $
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