Solving quadratics
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the first step in solving the quadratic equation x² + 6x - 13 = 3?
Back
Make it equal 0 by subtracting 3 on each side.
2.
FLASHCARD QUESTION
Front
How many types of solutions can a quadratic equation have?
Back
A quadratic equation can have one real solution, two real solutions, or two nonreal (imaginary) solutions.
3.
FLASHCARD QUESTION
Front
What is the factored form of x² - 4x + 4 = 20? Fill in the blank: (x - __)² = 20
Back
2
4.
FLASHCARD QUESTION
Front
What are the solutions to the equation 7x² + 1 = 8?
Back
± 1
5.
FLASHCARD QUESTION
Front
Complete the square for x² + 12x + ____. What goes in the blank?
Back
36
6.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form is ax² + bx + c = 0, where a, b, and c are constants.
7.
FLASHCARD QUESTION
Front
What does the discriminant of a quadratic equation tell us?
Back
The discriminant (b² - 4ac) indicates the nature of the roots: if > 0, two real solutions; if = 0, one real solution; if < 0, two nonreal solutions.
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