7x^2-36x-175=0

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Solution for 7x^2-36x-175=0 equation:



7x^2-36x-175=0
a = 7; b = -36; c = -175;
Δ = b2-4ac
Δ = -362-4·7·(-175)
Δ = 6196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{6196}=\sqrt{4*1549}=\sqrt{4}*\sqrt{1549}=2\sqrt{1549}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-2\sqrt{1549}}{2*7}=\frac{36-2\sqrt{1549}}{14} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+2\sqrt{1549}}{2*7}=\frac{36+2\sqrt{1549}}{14} $

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