The sum of the square of a number and the square of 5 more than the number is 169. What us the number

Question

Simply step by step solve the problem . Your help will be appreciated

Answer 1

Hi Linda;

The sum of the square of a number and the square of 5 more than the number is 169.

 

x²+5²=169

x²+25=169

Subtract 25 from both sides...

x²+25-25=169-25

x²=144

Square root both sides...

√x²=√144

There are two results...

x=+12.......x=-12

This is because (+12)² has the same result as (-12)².

 

 

Answer 2

We can write the number as "x".

 

X^{2 +} 5² = 169

 

X² + 25 = 169

 

X² = 169 - 25 

 

X² = 144

 

X = √144 = 12

 

(If I understood correctly your question)