Question #6445879Fill in the Blank
Algebra-1
Question
Solve the quadratic equation . The solutions are __________.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to solve a quadratic equation with a negative leading coefficient and no linear term. The equation is in the form , and the student must isolate and then take the square root of both sides.
This question evaluates the student's ability to solve a quadratic equation with a negative leading coefficient and no linear term. The equation is in the form , and the student must isolate and then take the square root of both sides.
Key Concept Explanation
When the linear coefficient is zero, the quadratic equation simplifies to . To solve this, we isolate by moving the constant term to the other side, divide by the leading coefficient, and then take the square root of both sides.
When the linear coefficient is zero, the quadratic equation simplifies to . To solve this, we isolate by moving the constant term to the other side, divide by the leading coefficient, and then take the square root of both sides.
Step-by-step Solution
1. Start with the given equation:
2. Subtract 72 from both sides to isolate
1. Start with the given equation:
2. Subtract 72 from both sides to isolate
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