
3.3 Quadratic Formula
Presentation
•
Mathematics
•
9th - 11th Grade
•
Practice Problem
•
Medium
Standards-aligned
Jasmine Maneates
Used 73+ times
FREE Resource
5 Slides • 5 Questions
1
3.3 Quadratic Formula
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When to use the Quadratic Formula
--> The formula comes in handy when the equation is written in standard form: f(x)=ax2+bx+c
Notice: The formula is set equal to x, therefore we are solving for x-intercepts (zeros, roots of the equation).
3
Types of Solutions
two real solutions ( no negatives under the radical)
one real solution ( number under the radical simplifies to zero)
two imaginary solutions ( negative under the radical
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Lets solve using the Quadratic Formula! x2+3x−5=0
Step 1: Make sure the equation is written in standard form (one side = 0)
Step 2: Identify a, b and c in the equation
Step 3: Plug the numbers into the quadratic formula!
x=2a−b±b2−4ac
Step 4: Perform the operations and solve!
5
Jump back to google classroom to follow along and solve the formula!
6
Multiple Choice
Determine the values of a, b, and c for the quadratic equation:
4x2 – 8x = 3
a = 4, b = -8, c = 3
a = 4, b = -8, c = -3
a = 4, b = 8, c = 3
a = 4, b = 8, c = -3
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Multiple Choice
2x2 - 9x - 35 = 0
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Multiple Choice
The quadratic equation can be used to solve quadratic equations that cannot be factored.
True
False
9
Multiple Choice
Solve using the Quadratic Formula:
x2 + 4x + 3 = 0
x = 1 and x = 3
x = 6 and x = -2
x = -1 and x = -3
10
Multiple Choice
Use the quadratic formula to find the solutions for
y = -x2 - 5x + 12
No Real Solution
3.3 Quadratic Formula
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