Quadratic Formula Irrational Solutions Warmup 2

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• B
• C
• D

Tags

CCSS.HSA-REI.B.4B

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• B
• C
• D

Tags

CCSS.HSA-REI.B.4B

What is this formula?

• This is the completing the square method.

• This is the quadratic formula.

• This is the zero product property.

• This the discriminant.

Answer explanation

The quadratic formula, given by x = (-b ± √(b²-4ac)) / 2a, is used to find the roots of a quadratic equation. It is distinct from completing the square, the zero product property, and the discriminant.

Tags

CCSS.HSA-REI.B.4B

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

Answer explanation

To solve the equation x² + 6x - 13 = 3, the first step is to make it equal to 0. This is done by subtracting 3 from both sides, resulting in x² + 6x - 16 = 0, which is essential for further solving.

Tags

CCSS.HSA-REI.B.4B

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Answer explanation

To rewrite the equation in standard form, move 3 to the left: 4x^2 - 8x - 3 = 0. Here, a = 4, b = -8, and c = -3. Thus, the correct values are a = 4, b = -8, c = -3.

The quadratic equation can be used to solve quadratic equations that cannot be factored.

• True

• False

Answer explanation

The statement is true because the quadratic formula provides a method to find the roots of any quadratic equation, even those that cannot be factored easily. Thus, it is a reliable tool for solving such equations.

Tags

CCSS.HSA-REI.B.4B