What is the discriminant in a quadratic equation?

The discriminant is given by $$D = b^2 - 4ac$$ and determines the nature of the roots.

What does a positive discriminant indicate?

It indicates that the quadratic equation has two distinct real solutions.

What does a zero discriminant indicate?

It indicates that the quadratic equation has exactly one real solution (a repeated root).

What does a negative discriminant indicate?

It indicates that the quadratic equation has two complex (imaginary) solutions.

How do you isolate x in the equation $$x^2 = k$$ ?

Take the square root of both sides: $$x = \\pm \\sqrt{k}$$ .

What is the first step in solving a quadratic equation by square roots?

Isolate the $$x^2$$ term on one side of the equation.

What is the relationship between square roots and quadratic equations?

Square roots are used to find the solutions of quadratic equations when they are in the form $$x^2 = k$$ .

Solving Quadratics by Square Roots

Flashcard

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Mathematics

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8th Grade - University

•

Practice Problem

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Hard

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CCSS

HSA-REI.B.4B, 8.EE.A.2, HSN.CN.A.1

Standards-aligned

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FLASHCARD QUESTION

Front

What does it mean if a quadratic equation has imaginary solutions?

Back

It means that the solutions involve the imaginary unit 'i', which represents the square root of a negative number.

Tags

CCSS.HSN.CN.A.1

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

What is the square root of a negative number?

Back

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

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