191k views
0 votes
Write an equation of the form x2 = r

where r is a real number that has exactly
one real solution.

User Raha
by
8.1k points

1 Answer

2 votes

Final answer:

An equation x² = r that has exactly one real solution is x² = 0. The only real solution to this equation is x = 0, as only 0 squared equals 0.

Step-by-step explanation:

To write an equation of the form x² = r with exactly one real solution, we need to choose a value for r such that when we take the square root of both sides of the equation, we only get one solution. The only value for r that satisfies this condition is 0 because the square root of 0 is 0, and there are not two different numbers that when squared would produce 0.

Hence, an equation that meets the requirements is:

x² = 0

The unique solution to this equation is x = 0. This is because when we apply the square root to both sides, √(x²) = √(0), we end up with x = 0. Only 0 squared returns 0, so there cannot be another solution.

User Doofus
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.