SOLUTION: Find three consecutive odd integers the sum of which is negative twenty-one. true or false 6 is a solution of x2 + 3 = 9 + 5x.

Algebra ->  Expressions-with-variables -> SOLUTION: Find three consecutive odd integers the sum of which is negative twenty-one. true or false 6 is a solution of x2 + 3 = 9 + 5x.       Log On


   

Question 346947: Find three consecutive odd integers the sum of which is negative twenty-one.

true or false 6 is a solution of x2 + 3 = 9 + 5x.
Found 3 solutions by nyc_function, rfer, stanbon:
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
There are two questions here.

Find three consecutive odd integers the sum of which is negative twenty-one.

I will give you the equation and you can take it from there.

x + x + 2 + x + 4 = -21


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True or False: 6 is a solution of x^2 + 3 = 9 + 5x.

If 6 is a solution, then replacing every x with 6 in this equation will yield

the same answer on both sides.

(6)^2 + 3 = 9 + 5(6)

36 + 3 = 9 + 30

39 = 39

Yes, 6 is a solution to this equation.

Now, go back and do question 1. I provided the equation.









Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
36+3=9+5*6
true

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find three consecutive odd integers the sum of which is negative twenty-one.
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1st: 2x-1
2nd: 2x+1
3rd: 2x+3
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Equation:
sum = -21
6x+3 = -21
6x = -24
x = -4
----
1st: 2x-1 = -9
2nd: 2x+1 = -7
3rd: 2x+3 = -5
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true or false: 6 is a solution of x^2 + 3 = 9 + 5x.
---
36 + 3 = 9 + 5*6
39 = 39
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Ans: true
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Cheers,
Stan H.
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