If the equation `x^2+9y^2-4x+3=0` is satisfied for all real values of `x and y,` then

Prove that if the equation x^(2)+9y^(2)-4x+3=0 is satisfied for real values of x and y, then x must lie between 1 and 3and y must lie between-1/3and 1/3 .

Prove that if the equation x^2+9y^2-4x+3=0 is satisfied for real values of x and y ,then x must lie between 1 and 3 and y must lie between -1/3 and 1/3 .

Prove that if the equation x^2+9y^2-4x+3=0 is satisfied for real values of xa n dy ,t h e nx must lie between 1 and 3 and y must lie between-1/3 and 1/3.

Prove that if the equation x^2+9y^2-4x+3=0 is satisfied for real values of xa n dy ,t h e nx must lie between 1 and 3 and y must lie between-1/3 and 1/3.

Prove that if the equation x^2+9y^2-4x+3=0 is satisfied for real values of xa n dy ,t h e nx must lie between 1 and 3 and y must lie between-1/3 and 1/3.

Prove that if the equation x^2+9y^2-4x+3=0 is satisfied for real values of xa n dy ,t h e nx must lie between 1 and 3 and y must lie between-1/3 and 1/3.

If the equation y^2+x^2-10x+21=0 is satisfied by real values of x and y, prove that x lies between 3 and 7 and y lies between (-2) and 2.

Complex numbers whose real and imaginary parts x and y are integers and satisfy the equation 3x^(2)-|xy|-2y^(2)+7=0 , Find the value of x and y .

In the equations 3x+2y=13xy and 4x-5y=2xy, the values of x and y that satisfy the equations are