The sum of the square of a positive number and the square of 2 more than the number is 74. What is the number?

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Answer 1 · 2016-12-12T02:59:50

Let the number be #x#.

#x^2+ (x + 2)^2 = 74#

#x^2 + x^2 + 4x + 4= 74#

#2x^2 + 4x - 70 = 0#

#2(x^2 + 2x - 35) = 0#

#(x + 7)(x - 5) = 0#

#x= -7 and 5#

#:.# The number is #5#.

Hopefully this helps!