Problem 49
Question
Classify each of the equations for the following problems by degree. If the term linear, quadratic, or cubic applies, state it. $$ x^{2}-25=0 $$
Step-by-Step Solution
Verified Answer
Answer: The given equation is a quadratic equation.
1Step 1: Identify the highest power of the variable
In the equation $$x^{2}-25=0$$, the highest power of the variable x is 2, which appears in the x^2 term.
2Step 2: Classify the equation by degree
The highest power of the variable is 2, so this equation is classified as a second-degree equation.
3Step 3: Determine if the equation is linear, quadratic, or cubic
Second-degree equations are also known as quadratic equations. Since our given equation is a second-degree equation, it is a quadratic equation.
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Problem 48
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