Answer: x = 2, 1
Step-by-step explanation:2x^2 - 6x + 4 = 0
Firstly, simplify. Divide by 2 to get
2(x^2-3x+2) = 0
Move the constant to the other side.
2(x^2-3x) = -2
Divide the x term by 2 and square it
-3/2^2 = 9/4
Add this result to both sides.
2(x^2-3x+9/4) = 1/4.
Put the perfect sq on both sides
2(x-3/2)^2=1/4
Then solve the equation:
take the sqrt of both sides and isolate x for each solution
x-3/2= +/-1/2
x = 3/2 + 1/2
x= 3/2-1/2
x= 2, 1