61.7k views
0 votes
What number u satisfies the equation sqrt{100u-100}=100?

2 Answers

5 votes

Answer:

101

Explanation:

If $\sqrt{100u-100}=100$, then in words, $100u-100$ is the number whose square root is $100$.

The number whose square root is $100$ is $100^2$, that is, $10{,}000$.

(If that's confusing, think of what number you can replace $\textcolor{red}{\heartsuit}$ with so that the equation $\sqrt{\textcolor{red}{\heartsuit}}=100$ is true. It's true that $\sqrt{10{,}000} = 100$.)

So, we have the equation

$$100u-100=10{,}000.$$Adding $100$ to both sides gives

$$100u=10{,}100,$$then dividing both sides by $100$ gives

$$u=\boxed{101}.$$

User Tija
by
8.7k points
5 votes
The answer is 101
100 squared is 10,000
Then form an equation
100u-100=10,000
+100 +100
100u=10,100
divide by 100 on both sides
and you get 101 as the answer
User Jkistler
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories