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99x^2-73x+10=0
a = 99; b = -73; c = +10;
Δ = b2-4ac
Δ = -732-4·99·10
Δ = 1369
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{1369}=37$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-73)-37}{2*99}=\frac{36}{198} =2/11 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-73)+37}{2*99}=\frac{110}{198} =5/9 $
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