Question: Which of the following is a quadratic equation?
Options:
x + 1 = 0
x^2 - 4x + 4 = 0
2x - 3 = 0
3x + 2 = 0
Correct Answer: x^2 - 4x + 4 = 0
Solution:
A quadratic equation is one that can be expressed in the form ax^2 + bx + c = 0, which is satisfied by x^2 - 4x + 4 = 0.
Which of the following is a quadratic equation?
Practice Questions
Q1
Which of the following is a quadratic equation?
x + 1 = 0
x^2 - 4x + 4 = 0
2x - 3 = 0
3x + 2 = 0
Questions & Step-by-Step Solutions
Which of the following is a quadratic equation?
Step 1: Understand what a quadratic equation is. A quadratic equation is a type of polynomial equation that has the highest exponent of the variable (x) as 2.
Step 2: Recognize the standard form of a quadratic equation, which is ax^2 + bx + c = 0, where a, b, and c are constants and a is not equal to 0.
Step 3: Identify the components of the equation. In the equation x^2 - 4x + 4 = 0, we can see that: a = 1 (the coefficient of x^2), b = -4 (the coefficient of x), and c = 4 (the constant term).
Step 4: Check if the equation fits the standard form. Since it can be written as 1*x^2 - 4*x + 4 = 0, it matches the form ax^2 + bx + c = 0.
Step 5: Conclude that x^2 - 4x + 4 = 0 is indeed a quadratic equation.
No concepts available.
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