Three times the square of a number equals 24 times the number? Thanks
2007-06-13 09:10:20 · 7 answers · asked by Ashley C 1 in Science & Mathematics ➔ Mathematics
3x^2 = 24x
Divide both sides by 3
x^2 = 8x
Subtract 8x from each side
x^2 - 8x = 0
Factor
x(x-8) = 0
x = 0 or x-8 = 0
x = 0 or x = 8
2007-06-13 09:14:52 · answer #1 · answered by MsMath 7 · 1⤊ 0⤋
Let x be the number in question.
"Three times the square of a number" means 3x^2.
"equals" means =
"24 times the number" means 24x
Put it all together and you get
3x^2 = 24x
Solve this. First, move the 24x to the left hand side.
3x^2 - 24x = 0
Factor.
3x(x - 8) = 0
Solve by equating each factor to 0.
3x = 0
x - 8 = 0
x = 0
x = 8
Therefore, we have two possible numbers.
x = {0, 8}
2007-06-13 16:16:11 · answer #2 · answered by Puggy 7 · 0⤊ 0⤋
3 * X * X = 24 * X
X = 8
2007-06-13 16:16:33 · answer #3 · answered by TaipEd 1 · 0⤊ 0⤋
3x^2=24x
3x^2-24x= 0
3x(x-8) = 0
x = 0 or 8
2007-06-13 16:15:55 · answer #4 · answered by ironduke8159 7 · 0⤊ 0⤋
Sure...
3n^2 = 24n
3n^2 - 24n = 0
3n(n - 8) = 0
3n(n - 8) = 0
So, you have solutions for
3n = 0
==> n = 0
n - 8 = 0
==> n = 8
Two solutions, 0 and 8.
2007-06-13 16:14:24 · answer #5 · answered by C-Wryte 3 · 0⤊ 1⤋
3x^2 =24x
3x^2-24x=0
3x(x-8)=0
x= 8
2007-06-13 16:14:32 · answer #6 · answered by sweet n simple 5 · 0⤊ 0⤋
the statement is not true.
For example it the number is 10... then its square is 100 .... 100x3 is not the same as 24x10
2007-06-13 16:20:19 · answer #7 · answered by JFRanch 2 · 0⤊ 0⤋