Question

X²-4✓2x+6 solve this equation by completing square method

Answer 1

Answer:

x is 3√2,√2

Step-by-step explanation:

given,

x^2-4√2x+6=0

send 6 to RHS

x^2-4√2= -6

make LHS as perfect square

x^2-2.((2√2))/2.(x)=-6

add (2√2)^2 on both sides and make LHS a perfect square

(x-2√2)^2 = -6 +(2√2)^2

(x-2√2)^2= -6+8

(x-2√2)^2=2

x is +√2+2√2=3√2

x is -√2+2√2=√2

so values of x are 3√2,√2