SOLUTION: find the value of k that makes the sum of the roots of 3x^2-(3k+2)x+18=0 equal to 6.

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Question 891091: find the value of k that makes the sum of the roots of 3x^2-(3k+2)x+18=0 equal to 6.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Roots,

Simplify the discriminant,

Now you want









---
Notice, doing much of anything with the discriminant was not needed.
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!
find the value of k that makes the sum of the roots of 3x^2-(3k+2)x+18=0 equal to 6.






Sum of roots = 

 ------ Substituting sum of roots value, b and a



3k + 2 = 18 ------- Cross-multiplying 

3k = 16

 

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