x2-5x=7.5

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Solution for x2-5x=7.5 equation:



x2-5x=7.5
We move all terms to the left:
x2-5x-(7.5)=0
We add all the numbers together, and all the variables
x^2-5x-7.5=0
a = 1; b = -5; c = -7.5;
Δ = b2-4ac
Δ = -52-4·1·(-7.5)
Δ = 55
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{-(-5)-\sqrt{55}}{2*1}=\frac{5-\sqrt{55}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{55}}{2*1}=\frac{5+\sqrt{55}}{2} $

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