Quadratic Formula

What is the discriminant of x² - x = 0?

If you only need to know HOW MANY solutions an equation has, which part should you calculate?

The Quadratic Formula is most useful when an equation

In the quadratic formula, the symbol '±' indicates that

If the discriminant is positive but NOT a perfect square (like 7 or 13), the solutions will be

Why can the coefficient 'a' never be 0 when using the quadratic formula?

When the value of b² - 4ac is negative, the square root will result in an imaginary number. This means the equation has

What is the discriminant of x² + 1 = 0?

If x = (6 ± √36) / 2, what is the first step to simplify this?

If b² = 25 and 4ac = -20, what is b² - 4ac?

In the equation -x² + 4x - 7 = 0, what is the value of 'a'?

What is the value of b² if b = -6?

In x² - 5x - 6 = 0, the term -4ac is -4(1)(-6). This simplifies to

Find the discriminant of 2x² - 5x - 3 = 0.

If the discriminant is 0, the two solutions are actually

Find the discriminant for x² + x + 1 = 0.

For the equation x² + 4x + 4 = 0, calculate b². What is the value?

The part of the formula '-b / 2a' represents what part of the parabola?

For x² - 2x - 8 = 0, the discriminant is 36. What is the value of √D?

Using the results from the previous two questions (b²=16, 4ac=16), what is the discriminant of x² + 4x + 4 = 0?

What is the discriminant of x² - 10x + 25 = 0?

If an equation has no real roots, where does its graph sit relative to the x-axis?

The 'discriminant' is the specific part of the quadratic formula found under the radical. Its formula is

When calculating -4ac, if both 'a' and 'c' are negative, the result of -4ac will be

If the discriminant is a perfect square (like 25 or 49), the solutions to the equation will be

True or False: \(You can use the Quadratic Formula on the equation 5x + 2 = 0.\)

The quadratic formula starts with 'x = negative b...'. If your 'b' value is already -5, what should you write at the start of the formula?

To solve 2x² - 3x + 1 = 0, what value should be substituted for 'a' in the denominator 2a?

If a = 1/2, what is the value of the denominator 2a?

Using b=2 and 4ac=12, what is the discriminant of 3x² + 2x + 1 = 0?

In the equation x² - 7x + 10 = 0, what is the value of the constant 'c'?

The values of a, b, and c come from which form of a quadratic equation?

Which discriminant value would indicate two real, irrational roots?

The Quadratic Formula can be used to solve

Since the discriminant is 49, the roots are

In the quadratic formula, the entire numerator is divided by

For the equation x² + 4x + 4 = 0, calculate 4ac. What is the value?

Before using the quadratic formula, the equation must be in the form ax² + bx + c = 0. In the equation 3x² - 5 = 2x, what is the correct value of 'b' after moving terms?

If the discriminant (b² - 4ac) is exactly 0, how many unique real solutions does the equation have?

In 3x² + 2x + 1 = 0, what is the value of 4ac?

When the discriminant is 0, the formula becomes x = -b / 2a. This is why there is only ___ solution.

Any time b² is greater than 4ac, the equation will have

Continuing from the last question, if -b = 2 and √D = 6 and 2a = 2, the two solutions are (2+6)/2 and

In the equation x² + x - 1 = 0, the value of 'b' is

A discriminant of 15 tells you the equation has

Which of these is the correct Quadratic Formula?

Given the discriminant is -3, the equation x² + x + 1 = 0 has

If b = 1, what is b²?

If an equation is x² - 9 = 0, what is the value of 'b' to be used in the quadratic formula?

If an equation is 2x² + 5x = 0, what is the value of 'c' to be used in the quadratic formula?