Solving Quadratics by Square Roots
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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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 by square roots?
Back
Solving a quadratic equation by square roots involves isolating the x² term and then taking the square root of both sides to find the values of x.
3.
FLASHCARD QUESTION
Front
What is the square root of a number?
Back
The square root of a number x is a value y such that y² = x.
4.
FLASHCARD QUESTION
Front
How do you isolate x² in the equation k² - 6 = 43?
Back
Add 6 to both sides to get k² = 49.
5.
FLASHCARD QUESTION
Front
What are the solutions to the equation k² = 49?
Back
k = 7 and k = -7.
6.
FLASHCARD QUESTION
Front
What is the first step in solving 4x² - 25 = 0?
Back
Add 25 to both sides to get 4x² = 25.
7.
FLASHCARD QUESTION
Front
How do you solve for x in the equation 4x² = 25?
Back
Divide both sides by 4 to get x² = 25/4, then take the square root.
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