Finding the Number of Solutions to a Quadratic Function

How many solutions can a quadratic have?

• 1 solution

• 3 solutions

• 0 solutions

• 2 solutions

Use the discriminant to find the number of solutions for the following equation. y = x² +10x + 25

• 2 solutions

• 1 solution

• 0 solutions

Say 'TRUE' or 'FALSE'
A quadratic equation ax² + bx + c = 0 has equal roots, then b² - 4ac = 0 

• TRUE

• FALSE

Use the discriminant to find the number of solutions for the following equation. y = -3x² +5x - 8

• 2 solutions

• 1 solution

• 0 solutions

• No Real Solutions

• One Real Solution

• Two Real Solutions

• Three Real Solutions

How many solutions do ALL quadratic equations have?

• 1

• 2

• 3

• 4

How many solutions do quadratics have?

• 2

• At least 2

• infinite

• 1

• No Real Solutions

• One Real Solution

• Two Real Solutions

• Three Real Solutions

Abigail, Lily, and Kai are having a friendly debate. They are trying to figure out how many solutions a quadratic equation can have. Can you help them settle this?

• 2

• 3

• 1

• 0

Answer explanation

A quadratic equation can have two solutions.

• No Real Solutions

• One Real Solution

• Two Real Solutions

• Three Real Solutions