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

 May 3, 2019

Best Answer 

 #1
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What is the sum of all possible values of x such that 2x(x-10)=-50? 

 

Multiply it on out.                                       2x2 – 20x = –50

 

Add +50 to both sides.  This

puts the equation in standard

quadratic equation form.                           2x2 – 20x + 50 = 0

 

This will factor.                                           (2x – 10)(x – 5) = 0

 

Set each factor to zero.                              2x – 10 = 0     which means one solution is x = 5  

                                                                     x – 5 = 0       which means the other solution is x = 5

 

Add the two solutions together and

that sum is the answer to the question.        5 + 5 = 10  

 

Or would this mean that since both solutions

are 5, then the total would be 5.  I think it depends

on how you view the question.  Maybe I'm wrong.

.

 May 4, 2019
edited by Guest  May 4, 2019
 #1
avatar
+1
Best Answer

 

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

 

Multiply it on out.                                       2x2 – 20x = –50

 

Add +50 to both sides.  This

puts the equation in standard

quadratic equation form.                           2x2 – 20x + 50 = 0

 

This will factor.                                           (2x – 10)(x – 5) = 0

 

Set each factor to zero.                              2x – 10 = 0     which means one solution is x = 5  

                                                                     x – 5 = 0       which means the other solution is x = 5

 

Add the two solutions together and

that sum is the answer to the question.        5 + 5 = 10  

 

Or would this mean that since both solutions

are 5, then the total would be 5.  I think it depends

on how you view the question.  Maybe I'm wrong.

.

Guest May 4, 2019
edited by Guest  May 4, 2019

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