Question

solve for x :3x2-2√6+2=0​

Answer 1

Answer:

Step-by-step explanation:

3x^2 - 2√6x + 2 = 0

3x^2 - √6x -√6x + 2 = 0

√3x(√3x-√2) - √2(√3x-√2) = 0

(√3x-√2)(√3x-√2) = 0

x = √2/√3

ANOTHER METHOD:

3x^2 - 2√6x + 2 = 0

(√3x)^2 - 2(√3)(√2) + (√2)^2 = 0

Using (a+b)^2 identity

(√3x-√2)^2 = 0

Taking square root on both sides

√3x-√2 = 0

x = √2/√3