Math Problem Statement
One root of the equation x^2 - 81 = 0 is -9.
Solution
The given equation is:
To solve this equation, let's isolate :
Taking the square root of both sides, we get:
Thus, the roots of the equation are and .
Therefore, the statement "One root of the equation is -9" is True.
Would you like more details or have any questions?
Here are 5 related questions:
- What are the steps to solve a quadratic equation using the square root method?
- How would you solve the equation ?
- What is the significance of finding roots of an equation?
- How can you check if a value is truly a root of a given equation?
- How do you solve equations where the variable has an exponent greater than 2?
Tip: Always check your solutions by substituting them back into the original equation to ensure they satisfy it.
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Formulas
x^2 = 81
x = ±√81
Theorems
Square Root Property
Suitable Grade Level
Grades 7-9