SOLUTION: If x=-3 is a solution of the equation x^2=6x+do where d is a constant what is another value of x that satisfies the equation? (Plz show step by step solution) -5 -9 9 6

Question 1119258: If x=-3 is a solution of the equation x^2=6x+do where d is a constant what is another value of x that satisfies the equation?
(Plz show step by step solution)
-5
-9
9
6
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

x^2 = 6x + d    ====>


x^2 - 6x - d = 0.


According to Vieta's theorem, the sum of the roots to this equation is equal to the coefficient at x with the opposite sign:


 +  = 6  ====>


 = 6 -  = 6 - (-3) = 9.


Answer.  The other root is 9.

Solved.

==============

On Vieta's theorem, see the lesson
- Using Vieta's theorem to solve qudratic equations and related problems
in this site.

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