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nydimaria [60]
3 years ago
12

Find a negative real number such that the square of the sum of the number and 5 is equal to 1225. (

Mathematics
1 answer:
Sholpan [36]3 years ago
5 0

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.

(x+5)^2 = 1225

Taking square root on both sides

\sqrt{(x+5)^2} = \sqrt{1225}\\x+5 = -35 and x+5 = -35\\

Subtracting 4 from both sides

x+5-5 = 35-5\ and\\ x+5 = -35-5\\x = 30\ and\ x = -40

As it is mentioned in the equation, that the number is a negative number

So,

x = -40

Keywords: Radicals, Linear equations

Learn more about radicals at:

  • brainly.com/question/11207748
  • brainly.com/question/11280112

#LearnwithBrainly

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