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A positive number is 30 less than its square. Find the number.

2 Answers

2 votes

Answer:

6

Explanation:

6+30=36

6^2=36

User Matthew Walk
by
7.5k points
5 votes

Answer:

the positive number is equal to 6.

Explanation:

from the question which says A positive number is 30 less than its square. Find the number.

let the number be "n"

and the square of the number = n²

So, we have the expression to be

n = n²-30

n ²-30 -n =0

Re-arrange the equation

n²-n-30=0

the factors of -30 are 5 and -6

so we have

(n+5)(n-6)=0

n+5 =0

n = -5

or

n-6 =0

n = 6

therefore the number can either be -5 or 6.

note we are asked to find the positive number , so the positive number is 6

User SpaceBison
by
8.2k points

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