Let x be the 1st odd number, and x+2 the second odd consecutive number:
(x)(x + 2) = 6[((x) + (x+2)] -1
x² + 2x = 6(2x + 2) - 1
x² + 2x = 12x +12 - 1
And x² - 10x - 11=0
Solve this quadratic expression:
x' = [+10 +√(10²- 4.(1)(-11)]/2 and x" = [+10 -√(10²- 4.(1)(-11)]/2
x' = [10 + √144]/2 and x" = [10 - √64]/2
x' = (10+12)/2 and x" = (10-12)/2
x = 11 and x = -1
We have 2 solutions that satisfy the problem:
1st for x = 11, the numbers at 11 and 13
2nd for x = - 1 , the numbers are -1 and +1
If you plug each one in the original equation :(x)(x + 2) = 6[((x) + (x+2)] -1
you will find that both generates an equlity
Answer:
One.
Step-by-step explanation:
-4x + 6 = 6x - 2
-4x - 6x = -2 - 6
-10x = -8
There's only value of x which, when multiplied by -10 would produce -8.
That value is 0.8.
-10 * 0.8 = -8
No other value can produce the same result.
This means that there's only one solution.
Answer:
x=38
Step-by-step explanation:
(2x+5)=(3x-33)
2x-3x=-33-5
-x=-38
x=38
