Need help ASAP! Thank you!!

Question

Error analysis: You are going to find the error(s) in the math work shown below. Explain any errors completely, then enter the correct solution including the correct steps.

1. Solve by factoring:

2x² - 2x - 24=0

2(x² - x - 12)=0

2(x - 4)(x + 3) = 0

x = -4, 3

2. Rationalize the denominator:

3. Solve by taking the square root:

Answer 1

1. Last step is wrong:

x-4=0, so x=4, and x+3=0, x=-3

x =4, -3

2.Step 3 has error, when you rationalize the denominator you multiply and divide by the radical so as yo eliminate the radical in the denominator. In step 3, you should have 2 in the denominator not sqrt2

the answer would be sqrt(30)/2

3.Step 1 should be

x^2=4

then take square root on both sides

x= sqrt(4)

x= +2,-2