solving quadratic equations
example 2
solve: $x^2 = 144$
solution
value: 3
match the items.
a. $\pm 12$
b. 144
c. positive
1. $c = ?$
2. $\sqrt{144}$
3. $c$ is a ______ integer.
since $c 0$, the given quadratic equation has two solutions.
$x^2 = 144$
$x = \pm 12$
thus, $x = 12$ or $x = -12$.
example 3
solve: $x^2 = -3$

Question

solving quadratic equations
example 2
solve: $x^2 = 144$
solution
value: 3
match the items.
a. $\pm 12$
b. 144
c. positive
1. $c = ?$
2. $\sqrt{144}$
3. $c$ is a ______ integer.
since $c > 0$, the given quadratic equation has two solutions.
$x^2 = 144$
$x = \pm 12$
thus, $x = 12$ or $x = -12$.
example 3
solve: $x^2 = -3$

Accepted Answer

{ "quality": "clear", "question_count": 3, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Quadratic Equations" ], "new_concepts": [], "current_concepts": [ "Quadratic Equations" ] } ## Identify the value of c $$ c = 144 $$ ## Evaluate the square root of c $$ \sqrt{144} = 12 $$ ## Determine the classification of c $$ c = 144 \implies \text{positive} $$ | No. | Problem | Answer | |---|---|---| | 1 | $c = ?$ | b. 144 | | 2 | $\sqrt{144}$ | a. $\pm 12$ | | 3 | $c$ is a $\underline{\qquad}$ integer. | c. positive | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Quadratic Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the value of c

Evaluate the square root of c

Determine the classification of c

Answer:

No.	Problem	Answer
2	\(\sqrt{144}\)	a. \(\pm 12\)
3	\(c\) is a \(\underline{\qquad}\) integer.	c. positive