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(25x^2)-9x-7000=0
a = 25; b = -9; c = -7000;
Δ = b2-4ac
Δ = -92-4·25·(-7000)
Δ = 700081
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{-(-9)-\sqrt{700081}}{2*25}=\frac{9-\sqrt{700081}}{50} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{700081}}{2*25}=\frac{9+\sqrt{700081}}{50} $
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