Question

Write x2 - 2x - 3 = 0 in the form (x - a)2 = b, where a and b are integers.

Answer 1

The answer choices are:
(x - 4)2 = 3

(x - 3)2 = 2

(x - 2)2 = 1

(x - 1)2 = 4

Can someone also explain how to do it please?

Answer 2

ok

Answer 3

x^2-2x-3=0 becomes (x-3)(x+1)=0, and x-3=0
Multiply 2 both sides, (x-3)2=0

Answer 4

That isn't one of the answer choices. Do you mean (x-3)^2=1 ?

Answer 5

@Probhat prove it please that is right answer

Answer 6

so because not is sure

Answer 7

@mathmorelikeno try the last choice ,calcule it and see what you will get

Answer 8

no..Check ur ans. x values can either 3 or -1
Ur choices,
1. 2x-8=3, x=11/2
2. 2x-6=2, x=8/2=4
3. x=5/2
4. x=4
Ans may be wrong!!!

Answer 9

@mathmorelikeno hope you know that (x-1)^2 = x^2 -2x +1 ,yes but the last term need being -3 yes ? so this mean that you need assuming to +1 minus 4 and will get -3

ok ?

Answer 10

oh! last one x=3

Answer 11

@mathmorelikeno do you understand it now ?

Answer 12

soo it would be (x - 3)^2 = 2
because in the format
(x - a)2 = b, it would be (x-3)^2=2

Answer 13

so than you calcule (x-3)^2 =2 what you will get ??? so the needed answer sure ?

Answer 14

you don't need to calculate it though

Answer 15

but you need to prove it

Answer 16

so in case of (x-3)^2 =2 c will be 9-2=7 but need being -3

Answer 17

(x-a)2=b and (x-a)^2=b are not same. Clearify ur question plz.

Answer 18

so yes he not can writing again exponent

Answer 19

@Probhat I meant (x-a)^2=b in the initial question, sorry. @jhonyy9 So it would be B?

Answer 20

why B ? calcule it and see what will get ,ok ?

Answer 21

so than you see above i have said to you try calcule the last one ,yes ?

Answer 22

kk. den..last one may be d ans. calculate it. done!!

Answer 23

try it here for can understanding @mathmorelikeno too

Answer 24

please

Answer 25

so (x-1)^2 = x^2 -2x +1 but you know that c ,the last term need being -3 so than you need assuming to "1 -4 what is equal -3

yes ?

so than you need to make equal (x-1)^2 = 4

Answer 26

Answers are in to the power 2 so we have to make the given one to to the power 2.
So, x^2-2x-3=0
x^2-2.x.1+1-3-1=0
(x-1)^2=4