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What is the sum of all possible values of x such that 2x(x - 10) - x(x - 5) = -50?

 Jul 26, 2021
 #1
avatar+12231 
+1

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

\(x=-\frac{p}{2}\pm\sqrt{(\frac{p}{2})^2-q}\)

\(x=7,5\pm\sqrt{56.25-50}\\ x=7.5\pm 2.5\\ x_1=5\\ x_2=10\)

\(\sum x=5+10=15\)

laugh  !

 Jul 26, 2021
 #2
avatar+34388 
+1

https://web2.0calc.com/questions/help-plz_42690#r1

 Jul 26, 2021

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