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An equation reads x squared equal to k. How many solutions does the Square Root Property give?
AIt gives one solution
BIt gives four solutions
CIt gives two solutions
DIt gives no solutions
Answer & Solution
Correct answer: C. It gives two solutions
1. A square root of a number is any value whose square is that number.
2. Squaring a positive value and squaring its opposite give the same result.
3. So the Square Root Property returns both the principal square root and its opposite, which is two solutions.
_Source: OpenStax Intermediate Algebra (CC BY 4.0), section 9.1 Solve Quadratic Equations Using the Square Root Property_