10*x^2+73*x+75=0

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Solution for 10*x^2+73*x+75=0 equation:



10x^2+73x+75=0
a = 10; b = 73; c = +75;
Δ = b2-4ac
Δ = 732-4·10·75
Δ = 2329
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{-(73)-\sqrt{2329}}{2*10}=\frac{-73-\sqrt{2329}}{20} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(73)+\sqrt{2329}}{2*10}=\frac{-73+\sqrt{2329}}{20} $

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