Quadratic Formula Irrational Solutions

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• B
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Tags

CCSS.HSA-REI.B.4B

Q1. What is the value of the expression?

• A) 3√2

• B) √6

• C) 6

• D) 2√3

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• B
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• D

Tags

CCSS.HSA-REI.B.4B

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• B
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Tags

CCSS.HSA-REI.B.4B

Find the exact solution to the quadratic equation by using the quadratic formula. Be sure to reduce the solution.

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

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Tags

CCSS.HSA-REI.B.4B

What are the solutions to the following equation: 3x²-2x-5=0

• x=1 and x=3

• x=2 and x-5

• x=-1 and x=5/3

• No solutions

Tags

CCSS.HSA-REI.B.4B

• Step 2

• Step 6

• Step 4

• Step 5

Answer explanation

The error is in Step 6. The correct solutions from Step 5 should be x = 3 or x = -\frac{1}{2}, not -3 or \frac{1}{2}. The signs were incorrectly interpreted.

Tags

CCSS.HSA-REI.B.4B

• Step 2

• Step 6

• Step 4

• Step 5

Answer explanation

The error occurs in Step 4. The correct calculation should be \(x=\frac{-6\pm\sqrt{16}}{2}\), leading to \(x=\frac{-6\pm4}{2}\), resulting in \(x=-1\) or \(x=-5\). The signs were incorrectly handled.

Tags

CCSS.HSA-REI.B.4B

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• D

Tags

CCSS.HSA-REI.B.4B