Complex Solutions

We found the discriminant of 6x² − 2x − 3 = 0 to be 76. How many real solutions does the function have?

• Two

• One

• None

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CCSS.HSA-REI.B.4B

If the discriminant is positive, then the equation will have

• one real solution

• two real solutions

• no real solutions

• one imaginary solution

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CCSS.HSA-REI.B.4B

The formula to determine how many solutions a quadratic equation is called the discriminant which is...

• ax² + bX + c

• b - 4ac

• b² - 4ac

• b² + 4ac

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CCSS.HSA-REI.B.4B

• A
• B
• C
• D

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CCSS.HSA-REI.B.4B

What is Discriminant?

• The discriminant is only applicable to cubic equations

• The discriminant is a term used in mathematics, specifically in the context of quadratic equations. It is the part of the quadratic formula under the square root sign, which helps determine the nature of the roots of the equation.

• The discriminant is the sum of the roots of a quadratic equation

• The discriminant is the coefficient of the linear term in a quadratic equation

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CCSS.HSA-REI.B.4B

What is the formula to calculate the discriminant of a quadratic equation?

• b^2 - 4ac

• 2ab - c

• a^2 + b^2 + c^2

• 3a - 2b + c

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CCSS.HSA-REI.B.4B

When the discriminant of a quadratic equation is negative, what type of roots does the equation have?

• Complex Roots

• Real and Equal Roots

• Real and Unequal Roots

• Imaginary Roots

What is the significance of the discriminant in solving quadratic equations?

• Determines the number of solutions

• Calculates the sum of roots

• Measures the angle between roots

• Estimates the value of 'a' in the equation

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CCSS.HSA-REI.B.4B

What is the purpose of finding the discriminant in a quadratic equation?

• Determines the number of solutions

• Calculates the sum of roots

• Measures the angle between roots

• Estimates the value of 'a' in the equation

Tags

CCSS.HSA-REI.B.4B

Explain the relationship between the discriminant and the type of roots in a quadratic equation.

• The discriminant determines the sum of roots

• The discriminant helps identify if roots are rational or irrational

• The discriminant calculates the difference between roots

• The discriminant estimates the value of 'c' in the equation

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CCSS.HSA-REI.B.4B