The square of a negative number is 28 more than three times the negative number
2 answers:
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?
"<span>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.</span>
Let x be the unknown negative number.
The square of the negative number: x2
is =
60 more than 4 times the negative number: 4x + 60
x2 = 4x + 60
x2 - 4x - 60 = 0
Factors to:
(x-10)(x+6) = 0
x = 10 and -6
Since the number is negative, x = -6
Check:
x2 = 4x + 60
(-6)2 = 4(-6)+60
36 = -24 + 60
36 = 36
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D. (-2, 1).
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