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MATH SOLVE
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The square of a negative number is 28 more than three times the negative number
4 months ago
Q:
The square of a negative number is 28 more than three times the negative number
Accepted Solution
A:
Let the number be x, and remember that x is negative.
Then x^2 = 3x + 28. Rearranging terms, x^2 - 3x - 28 = 0
Factoring, (x+4)(x-7) = 0. Solving for x, x=-4 and x=7. Discard x=7.
The answer is x=-4.
Check: Is this true for x = -4?
"The square of a negative number is 28 more than three times the negative number."
(-4)^2 = 28 + 3(-4) or 16 = 28 - 12 yes, this is true.