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If 4 is subtracted from a number the result is equal to the square root of 2 more than the number find the number?
Wiki User
∙ 11y ago
2
Isaiah Mohr
Wiki User
∙ 11y agoSuppose the number is x.
Then x - 4 = sqrt(x + 2)
squaring both sides: x2 - 8x + 16 = x + 2
so that x2 - 9x + 14 = 0
(x - 2)(x - 7) = 0
then x = 2 or x = 7
The alternative interpretation
x - 4 = x + sqrt(2) implies that -4 = sqrt(2) which is clearly not true.
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