Solving Quadratic Equations: Quadratic Formula

Question 1

What is the value of the discriminant for the quadratic equation 0 = 2x2 + x – 3?Discriminant = b2 – 4ac

Revolt · Accepted Answer

25

Question 2

Which statement is true about the quadratic equation 8x2 − 5x + 3 = 0?

Revolt · Accepted Answer

The leading coefficient is 8.

Question 3

Which is the graph of a quadratic equation that has a positive discriminant?

Revolt · Accepted Answer

On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (0, negative 1), and goes through (2, 3).

Question 4

What is the value of the discriminant for the quadratic equation 0 = x + 2 + x2?Discriminant = b2 – 4ac

Revolt · Accepted Answer

–7

Question 5

The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 + bx + c, is shown.Step 1: –c = ax2 + bx

Revolt · Accepted Answer

subtraction property of equality

Question 6

Some of the steps in the derivation of the quadratic formula are shown.Step 4: Step 5: Step 6: Step 7:

Revolt · Accepted Answer

The square root of terms separated by addition and subtraction cannot be calculated individually.

Question 7

What are the values of a, b, and c in the quadratic equation 0 = x2 – 3x – 2?

Revolt · Accepted Answer

a = , b = –3, c = –2

Question 8

Determine the discriminant for the quadratic equation 0=-2x2+3. Based on the discriminant value, how many real number solutions does the equation have?Discriminant = b2-4ac

Revolt · Accepted Answer

2

Question 9

Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many real number solutions does the equation have?Discriminant = b2-4ac

Revolt · Accepted Answer

1

Question 10

Some of the steps in the derivation of the quadratic formula are shown.Step 3: –c + = aStep 4a: –c + = aStep 4b: + = a

Revolt · Accepted Answer

converting to a common denominator

Solving Quadratic Equations: Quadratic Formula Answers

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