# 50x^2-60x-7=0

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## Solution for 50x^2-60x-7=0 equation:

50x^2-60x-7=0
a = 50; b = -60; c = -7;Δ = b2-4acΔ = -602-4·50·(-7)Δ = 5000The delta value is higher than zero, so the equation has two solutionsWe use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$The end solution:
$\sqrt{\Delta}=\sqrt{5000}=\sqrt{2500*2}=\sqrt{2500}*\sqrt{2}=50\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-50\sqrt{2}}{2*50}=\frac{60-50\sqrt{2}}{100}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+50\sqrt{2}}{2*50}=\frac{60+50\sqrt{2}}{100}$

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