Hey dad can you help me with this math problem
Step 1
4x^2-8x+24(x^2-2x)+24(x^2-2x+1-1)+2
Step 2
4[(x-1)^2-1]+14(x-1)^2-4+1
Dad-With completing the square you need to take the 4 out of the problem by dividing it with the equation. So it will be 4 divided by 4x^2-8x. Kailas- Ok dad let's do it.
Last step
4(x-1)^2-4+1
Dad- Now we need to take the -2 and divide it by 2 then square it and add it back into the problem by adding and subtracting it. After that, we need to factor the first 3 parts by putting them in square brackets Kailas- I think I'm starting to get it now
Fully solved
4(x-1)^2-3
Dad- Now we need to get rid of the square brackets to do that we need to multiply the 4 back in. So it will be 4 into the square brackets and times -1
4(x-1)^2-3
Dad- Now all we have to do to complete this problem is to add -4+1 and we will have our final answer
Dad- This is our final answer Kailas. Do you understand how to do completing the square now?
Kailas- Yeah dad it's really easy after you showed me thanks so muchDad- No worries anytime son