##### Find a negative real number such that the square of th sum if the number and 7 is equal to 1024

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Find a negative real number such that the square of th sum if the number and 7 is equal to 1024.

May 3rd, 2015

Let the number be x.

Square of sum of the number and 7 is equal to 1024

$(x + 7)^2 = 1024\\ \\ x + 7 = \sqrt{1024}\\ \\ x + 7 = \pm32\\ \\ x = -7\pm32\\ \\ x = -7-32\hspace{5}or\hspace{5}x=-7+32\\ \\ x = -39\hspace{5}or\hspace{5}x=25\\$

Since it is a negative number, x < 0

So, x = -39 is the solution.

May 3rd, 2015

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May 3rd, 2015
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May 3rd, 2015
Oct 22nd, 2016
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