Question

What is the solution set of (x - 2)(x - 3) = 2?

A {1, 4}
B {2, 3}
C{4, 5}

Answer 1

Answer:

Option A is the correct option.

Step-by-step explanation:

Given equation : ( x - 2 ) ( x - 3 ) = 2

= >  ( x - 2 )( x - 3 ) = 2

= >  x( x - 3 ) - 2( x - 3 ) = 2

= >  x^2 - 3x - 2x + 6 = 2

= >  x^2 - 5x + 6 - 2 = 0

= >  x^2 - 5x + 4 = 0

= >  x^2 - ( 4 + 1 ) x + 4 = 0

= >  x^2 - 4x - x + 4 = 0

= >  x( x - 4 ) - ( x - 4 ) = 0

= >  ( x - 1 )( x - 4 ) = 0

By Zero Product Rule : -

= >  x - 1 = 0 , x = 1

Or , x - 4 = 0 , x = 4

Therefore,

Solution set of ( x - 2 )( x - 3 ) = 2 is { 1 , 4 }.

Answer 2

$\bold{\huge{Hay!!}}$


$\bold{Dear\:user!!}$



$\bold{\underline{Question-}}$


What is the solution set of (x - 2)(x - 3) = 2?

A {1, 4}
B {2, 3}
C{4, 5}


$\bold{\underline{Answer-}}$


$\bold{Your\:answer\:is\:option\:(A)}$


$\bold{\underline{Explanation-}}$According to the question we know that Given equation is (x - 2) ( x - 3) = 2

Now, Here is a tricky Solution

(x - 2) = 2

x - 2 = 2

x = 2 + 2

x = 4

(x - 3) = 2

- 2 - 3 = x

1 = x

so, the solution of sets (x - 2) (x - 3) = (1 , 4 )