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Mathematics, 12.03.2020 23:33 deena7

Kate is solving x^2+x-2=0 by completing the square. Her first two steps are shown below.

Step 1: x^2+x=2

step 2: x^2+x+1/4=2+1/4

Which are the next two steps that can be used to solve this problem?

Make sure to select 2 answers. One from step 3 and one from step 4.

Question 1 options:

Step 3: (x+12)^2=9/4

Step 3: (x+14)^2=9/4

Step 4: √(x+14)^2=√94

Step 4: √(x+12)^2=√94

Jake is solving x^2-6x+5=0 by completelting the square. His steps are shown below.

Step 1: x^2 - 6x = -5

Step 2: x^2 - 6x +9 = -5 + 9

Step 3: (x-6)^2 = 4

Step 4: √(x-6)^2 = √4

Step 5: x-6=±2

Step 6: x+6±2

Step 7: x=8 and x=4

Which statement correctly describes Jakes error in solving this problem?

Question 2 options:

The solution should only be 8 since √4=2.

In step 1, the right side should be 5 instead of −5.

In step 3, (x−3)^2 should be on the left side of the equation instead of (x−6)^2

NEVERMIND THE ANSWERS WERE 1 AND 4 FOR THE 1ST ONE 3 FOR THE SECOND ONE

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Answers: 1

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Kate is solving x^2+x-2=0 by completing the square. Her first two steps are shown below.

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