Quadratic Formula

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

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

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

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

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

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

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

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

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

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

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?

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

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

Which discriminant value would indicate two real, irrational roots?

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

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

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

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

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

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

The Quadratic Formula is most useful when an equation

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?

What is the discriminant of x² - x = 0?

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

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

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

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

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

What is the value of b² if b = -6?

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

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

Which of these is the correct Quadratic Formula?

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

If the discriminant is 0, the two solutions are actually

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

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

In the quadratic formula, the entire numerator is divided by

A discriminant of 15 tells you the equation has

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

If b = 1, what is b²?

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

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

What is the discriminant of x² + 1 = 0?

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

Since the discriminant is 49, the roots are

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

The Quadratic Formula can be used to solve

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

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

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