What is the sum of all possible values of x such that 2x(x - 10) - x(x - 5) = -50?
Hallo Guest!
\(2x(x - 10) - x(x - 5) = -50\ |\ +50\\ 2x^2-20x-x^2+5x+50=0\)
\(x^2-15x+50=0\)
p q
\(x=-\frac{p}{2}\pm\sqrt{(\frac{p}{2})^2-q}\)
\(x=7,5\pm\sqrt{56.25-50}\\ x=7.5\pm 2.5\\ x_1=5\\ x_2=10\)
\(\sum x=5+10=15\)
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