Question

Solve for x: (x-2)(x-3)=2

Answer 1

Firstly bring it in standard quadratic form:

\[ax^2 + bx + c = 0\]

Can you do it??

Answer 2

Yes; x^2-2x-3x+6-2=0

Answer 3

\[x^2-2x-3x+6-2=0\]

Answer 4

You can add or subtract like terms..
Can you do that??

Answer 5

\(\large (-2x - 3x) = ?\: ?\)

Answer 6

-5x

Answer 7

So \[x^2-5x+4=0\]

Answer 8

Can you tell me what is c here by comparing it with the equation I have written at top most..??

Answer 9

\(c\)

What is c here??
compare it with standard form..

Answer 10

4 is c

Answer 11

Yes can you now tell me the factors of 4??

Answer 12

1,2,4

Answer 13

Which factor will give you the sum = 5 and product = 4??

Answer 14

4 and 1

Answer 15

For example:

I take 4 = 2*2

is 2 +2 = 5??

No..
So, like wise which factors have sum = 5??

Answer 16

Yes you are right till here...

Answer 17

So would it be (x-4)(x-1)

Answer 18

so x would be 4 and 1?

Answer 19

Yes dear you are absolutely right..

Answer 20

Awesome. Thank you so much for your help.

Answer 21

Yes,

\(x = 1 and x = 4\)...

Answer 22

:)

Answer 23

Welcome dear...