The number is -40
Step-by-step explanation:
Let x be the number that we have to find
Then according to the given statement
the square of the sum of the number and 5 is equal to 1225.
[tex](x+5)^2 = 1225[/tex]
Taking square root on both sides
[tex]\sqrt{(x+5)^2} = \sqrt{1225}\\x+5 = -35 and x+5 = -35\\[/tex]
Subtracting 4 from both sides
[tex]x+5-5 = 35-5\ and\\ x+5 = -35-5\\x = 30\ and\ x = -40[/tex]
As it is mentioned in the equation, that the number is a negative number
So,
x = -40
Keywords: Radicals, Linear equations
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