X(x-7)-4=0

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Solution for X(x-7)-4=0 equation:



X(X-7)-4=0
We multiply parentheses
X^2-7X-4=0
a = 1; b = -7; c = -4;
Δ = b2-4ac
Δ = -72-4·1·(-4)
Δ = 65
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{-(-7)-\sqrt{65}}{2*1}=\frac{7-\sqrt{65}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{65}}{2*1}=\frac{7+\sqrt{65}}{2} $

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