SOLUTION: a number is four times larger than the square of half the number? i am not sure and i need help

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Question 910182: a number is four times larger than the square of half the number? i am not sure and i need help
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
"A number," you do not know. This is a variable. The number is described as being related to another number using descriptive phrasing.
x is the number in , "a number".
highlight_green%28x=4%2B%28x%2F2%29%5E2%29, the whole description transcribed into an equation.

You can solve for x using the equation, if that is what you want.

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

a number is four times larger than the square of half the number? i am not sure and i need help


Let number be N

Then we can say that: N+=+%28%281%2F2%29N%29%5E2+%2B+4N

N+=+%28N%2F2%29%5E2+%2B+4N

N+=+N%5E2%2F4+%2B+4N

4N+=+N%5E2+%2B+16N -------- Multiplying by LCD, 4

N%5E2+%2B+16N+-+4N+=+0

N%5E2+%2B+12N+=+0

N(N + 12) = 0



N + 12 = 0            OR         N = 0 (ignore)

N, or number is: highlight_green%28-+12%29