Simplifying Radicals and Quadratic Formula

Front

What does a discriminant equal to a negative number indicate about the solutions of a quadratic equation?

Back

No real solution.

Front

Simplify 8√80.

Back

32√5.

Front

Solve the quadratic equation 2x² + 7x - 15 = 0 using the quadratic formula.

Back

-5 or 1.5.

Front

Simplify 3√20.

Back

6√5.

Front

Identify the values of a, b, and c in the quadratic equation 4x² – 8x = 3.

Back

a = 4, b = -8, c = -3.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What is a radical?

Back

A radical is an expression that includes a root, such as a square root or cube root.

Front

How do you simplify √(a*b)?

Back

√(a*b) = √a * √b.

Front

What is the value of the discriminant in the quadratic equation ax² + bx + c = 0?

Back

The discriminant is given by b² - 4ac.

Front

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

Back

2 real solutions.