Solving Quadratics by Square Roots

Flashcard
•
Mathematics
•
9th Grade
•
Hard
+1
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 by taking square roots?
Back
Solving a quadratic equation by taking square roots involves isolating the squared term and then applying the square root to both sides of the equation.
Tags
CCSS.HSA-REI.B.4B
3.
FLASHCARD QUESTION
Front
What is the square root property?
Back
If x² = k, then x = ±√k.
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
How do you factor a quadratic expression?
Back
To factor a quadratic expression, find two numbers that multiply to give the constant term and add to give the coefficient of the linear term.
5.
FLASHCARD QUESTION
Front
What is the factored form of a quadratic equation?
Back
The factored form of a quadratic equation is expressed as (x - p)(x - q) = 0, where p and q are the roots of the equation.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What is the vertex form of a quadratic equation?
Back
The vertex form of a quadratic equation is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.
7.
FLASHCARD QUESTION
Front
How do you determine the number of real solutions of a quadratic equation?
Back
The number of real solutions can be determined using the discriminant (b² - 4ac): if it's positive, there are two solutions; if zero, one solution; if negative, no real solutions.
Tags
CCSS.HSA-REI.B.4B
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