Quadratic Equations with Real or Complex Solutions

Front

What is the square root of -108?

Back

6i√3

Front

What does it indicate if a quadratic equation has two complex solutions?

Back

The discriminant is negative.

Front

Is 3x² - 4 a quadratic equation?

Back

True

Front

How many solutions does a quadratic equation have based on its degree?

Back

2

Front

What type of solutions does a quadratic equation have if the discriminant is negative?

Back

2 Complex (imaginary) Solutions

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0, where a ≠ 0.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac.

Front

What does a positive discriminant indicate about the solutions of a quadratic equation?

Back

There are 2 distinct real solutions.

Front

What does a discriminant of zero indicate about the solutions of a quadratic equation?

Back

There is exactly 1 real solution (a repeated root).

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k, where (h, k) is the vertex.