Show that `x=-2sqrt2` is the solution of

Show that x=-3 is solution of x^(2)+6x+9=0

Show the graph of the solution of 2x - 3 > X-5 on number line.

Find the sum of the squares of all the real solution of the equation 2log_((2+sqrt(3)))(sqrt(x^(2)+1)+x)+log_((2-sqrt(3)))(sqrt(x^(2)+1)-x)=3

The system of linear equations x+y+z=2;2x+3y+2z=5,2x+3y+(a^(2)-1)z=6 has unique solution if |a|!=sqrt(3) is inconsistent if |a|=sqrt(3) has unique solution if |a|=sqrt(3) has infinite solutions if |a|=sqrt(3)

Show that the segment of the tangent to the curve y=(a)/(2)In((a+sqrt(a^(2)-x^(2)))/(a-sqrt(a^(2)-x^(2))))-sqrt(a^(2)-x^(2)) contained between the y= axis and the point of tangency has a constant length.

Show that the equation sin x(sin x+cos x)=a has real solution if and only if a is a real number lying between (1)/(2)(1-sqrt(2)) and (1)/(2)(1+sqrt(2))

The set of values of 'a' for which the equation sqrt(a) "cos" x -2 "sin" x = sqrt(2) + sqrt(2-a) has a solution is

The values of a for which the equation sqrt(a)sin x-2cos x=sqrt(2)+sqrt(2-a) has solutions are

the least value of 'a' for which the equation 2sqrt(a) sin^(2) x+sqrt(a-3) sin 2x=5+sqrt(a) has at least one solution is _______.

Which of the following is not the solution of log_(3)(x^(2)-2)