Question
Question: give examples of quadratic eqns...
give examples of quadratic eqns
A
x^2 + 2x + 1 = 0
B
x^2 - 4x + 4 = 0
C
2x^2 - 7x + 3 = 0
D
x^2 + 1 = 0
E
3x^2 - 12x + 12 = 0
Answer
Examples of quadratic equations include: x^2 + 2x + 1 = 0, x^2 - 4x + 4 = 0, 2x^2 - 7x + 3 = 0, x^2 + 1 = 0, and 3x^2 - 12x + 12 = 0.
Explanation
Solution
Quadratic equations are polynomial equations of degree 2, which can be expressed in the standard form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0. The examples provided illustrate different forms of quadratic equations, including those with real and complex solutions.