Question

give the complete solution for this
solve fully
no mcq
2 questions
10 points for u ​

Answer 1

Step-by-step explanation:

We have,

$\tt{ \sqrt{3 {x}^{2} - 2} =2x - 1 }$

$\sf{ \implies 3 {x}^{2} - 2=(2x - 1)^{2} }$

$\sf{ \implies 3 {x}^{2} - 2=4x^{2} - 4x + 1 }$

$\sf{ \implies x^{2} - 4x + 3 = 0 }$

$\sf{ \implies x^{2} - 3x - x + 3 = 0 }$

$\sf{ \implies x(x- 3) - 1(x - 3) = 0 }$

$\sf{ \implies (x- 3) (x- 1)= 0 }$

$\sf{ \implies x = 3 \: \: \: \: or \: \: \: \: x = 1 }$