Solving Quadratic Equations Flashcards

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8 questions

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1.

FLASHCARD QUESTION

Front

What is the process of solving quadratic equations?

Back

Factoring quadratics.

2.

FLASHCARD QUESTION

Front

Factor:

$x^2+2x-15$

Back

$\left(x+5\right)\left(x-3\right)$

3.

FLASHCARD QUESTION

Front

Solve for x:

$x^2-4x-21=0$

Back

$\left(x-7\right)\left(x+3\right)$

4.

FLASHCARD QUESTION

Front

Factor:

$x^2+6x+9$

Back

$\left(x+3\right)^2$

5.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

6.

FLASHCARD QUESTION

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is $b^2-4ac$ and it determines the nature of the roots.

7.

FLASHCARD QUESTION

Front

Solve for x using the quadratic formula:

$x^2+3x-10=0$

Back

$x=\frac{-3\pm\sqrt{3^2-4\cdot1\cdot(-10)}}{2\cdot1}$
$x=2$ or $x=-5$

8.

FLASHCARD QUESTION

Front

What are the roots of the equation:

$x^2-5x+6=0$

Back

$\left(x-2\right)\left(x-3\right)$
Roots are $x=2$ and $x=3$

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