Answer :
Answer:√2x=3x are x=0 and x=92.
Step-by-step explanation:To solve the equation √2x=3x, we need to isolate the radical term and square both sides of the equation to eliminate the square root. 1. Start by squaring both sides of the equation: (√2x)2=(3x)2 2. Simplify each side: 2x=9x2 3. Rearrange the equation to set it equal to zero: 9x2−2x=0 4. Factor out the common term: x(9x−2)=0 5. Set each factor to zero and solve for x: x=0 9x−2=0 9x=2 x=92
