The root of $\frac{15}{x^2-4}-\frac{2}{x-2}\backslash frac\{15\}\{x^2-4\}-\backslash frac\{2\}\{x-2\}$ = 1 are….

In the equation $2x^2-hx+2k=02x^2-hx\; +\; 2k\; =\; 0$, the sum of the roots is 4 and the product of the roots is -3. Then h and k have the values …… respectively.

If $\sqrt{x-1}-\sqrt{x+1}+1\backslash sqrt\{x-1\}-\backslash sqrt\{x+1\}+1$ = 0, then 4x equal to

The number of roots satisfying the equation $\sqrt{5-x}=x\sqrt{5-x}\backslash sqrt\{5-x\}=x\backslash sqrt\{5-x\}$ is/are

If $\alpha \backslash alpha$ and $\beta \backslash beta$ are the roots of the quadratic equation $x^2+px+12=0x^2+\; px\; +\; 12\; =\; 0$ with the condition $\alpha -\beta \backslash alpha-\backslash beta$ = 1, then the value of ‘p’ is

The coefficient of x in the quadratic equation $x^2+px+q=0x^2+px\; +\; q\; =\; 0$ was taken as 17 in the place of 13 and its roots were found to be -2 and -15. The roots of the original equation are

The roots of $\sqrt{2x-3}+\sqrt{3x-5}-\sqrt{5x-6}\backslash sqrt\{2x-3\}+\backslash sqrt\{3x-5\}-\backslash sqrt\{5x-6\}$ = 0 are

If one of roots of $x^2+ax+4=0x^2+ax\; +\; 4\; =\; 0$ is twice the other root, then the value of ‘a’ is

If the roots of the equation $(a-b)x^2+(b-c)x+(c-a)=0(a-b)x^2+(b-c)\backslash ,x+(c-a)=0$ are equal, then

If a = b = c, then the roots of the equation (x – a) (x – b) + (x – b)(x – c) + (x – c) (x – a) = 0 are