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-7x+1-10x^2=0
a = -10; b = -7; c = +1;
Δ = b2-4ac
Δ = -72-4·(-10)·1
Δ = 89
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{-(-7)-\sqrt{89}}{2*-10}=\frac{7-\sqrt{89}}{-20} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{89}}{2*-10}=\frac{7+\sqrt{89}}{-20} $
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