Solving Quadratic Using Square Roots

Flashcard
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a quadratic equation?
Back
A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does it mean to solve a quadratic equation using square roots?
Back
Solving a quadratic equation using square roots involves isolating the x² term and then taking the square root of both sides to find the values of x.
Tags
CCSS.HSA-REI.B.4B
3.
FLASHCARD QUESTION
Front
What is the square root of a negative number?
Back
The square root of a negative number is not a real number; it is an imaginary number, represented as i√|x|.
4.
FLASHCARD QUESTION
Front
How do you isolate x² in the equation -5x² = -50?
Back
Divide both sides by -5 to get x² = 10.
Tags
CCSS.8.EE.A.2
5.
FLASHCARD QUESTION
Front
What are the solutions to the equation x² = 10?
Back
The solutions are x = ±√10.
Tags
CCSS.8.EE.A.2
6.
FLASHCARD QUESTION
Front
How do you solve (x+3)² - 5 = 9?
Back
First, add 5 to both sides to get (x+3)² = 14, then take the square root to find x = ±√14 - 3.
Tags
CCSS.HSA-REI.B.4B
7.
FLASHCARD QUESTION
Front
What are the solutions to the equation 3 + 9r² = 12?
Back
Subtract 3 from both sides to get 9r² = 9, then divide by 9 to find r² = 1, leading to r = ±1.
Tags
CCSS.8.EE.A.2
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