5 times a number is 14 less than the square of that number. Find the positive solution.
2 answers:
Write the word problem in algebraic form:
n2 -14 = 5n
Write as a quadratic:
n2 - 5n - 14 = 0
Factor:
(n+2)(n-7) = 0
Solve:
n+2 = 0 => n = -2
n-7 = 0 => n = 7
positive solution is 7. (14 less than 72 = 35 which is also 5 times 7)
Answer:
The positive solution is 7.
Step-by-step explanation:
Let the number be x, then we have:
5x = x^2 - 14
x^2 - 5x - 14 = 0
(x - 7)(x + 2) = 0
x =7, -2.
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