Discriminant

Front

What is the formula for the discriminant?

Back

b² - 4ac

Front

What does the discriminant tell us about the number of solutions of a quadratic equation?

Back

It indicates the nature and number of solutions: if > 0, 2 solutions; = 0, 1 solution; < 0, no real solutions.

Front

In the quadratic equation ax² + bx + c = 0, what do a, b, and c represent?

Back

a = coefficient of x², b = coefficient of x, c = constant term.

Front

If the discriminant is greater than zero, how many solutions does the quadratic equation have?

Back

2 Solutions

Front

If the discriminant is equal to zero, how many solutions does the quadratic equation have?

Back

1 Solution

Front

If the discriminant is less than zero, how many solutions does the quadratic equation have?

Back

No real solutions

Front

Calculate the discriminant for the quadratic equation 2x² + 4x + 2.

Back

Discriminant = 4² - 4(2)(2) = 16 - 16 = 0.

Front

What is the discriminant of the equation -5x² - 6 = 0?

Back

-120

Front

What is the significance of a negative discriminant?

Back

It indicates that the quadratic equation has no real solutions.

Front

What is the value of a, b, and c in the quadratic equation 9x² + 9x - 14?

Back

a = 9, b = 9, c = -14.