Question

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

Answer 1

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

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