If the sum of the roots of the quadratic equation $3x^2+(2k+1)x\text{–}(k+5)=03x^2\; +\; (2k\; +\; 1)\; x\; –\; (k\; +\; 5)\; =\; 0$ is equal to the product of the roots, then the value of ‘k’ is

For a quadratic equation, $3+\sqrt{5}3+\backslash sqrt\{5\}$ is one root. The other root must be

If one root of the equation $a{x}^2+bx+c=0ax^2+bx+c=0$ is three times the other, then ……

The root of the quadratic equation $3x^2-kx+14=03x^2-kx\; +\; 14=\; 0$ are in the ratio 7 : 6 then k = ……

If $\alpha ,\beta \backslash alpha,\backslash beta$ are the roots of the equation $x^2\text{–}px+q=0x^2\; –\; px\; +\; q\; =\; 0$, then the quadratic equation whose roots are α/β and α/β is ………

Find the value of k, if the expression $x^2+kx+1x^2+kx+1$ is factorizable into two linear factors …

The product of two consecutive odd numbers is 143. The numbers are

The perimeter of a rectangular room is 34m and the length of a diagonal is 13m. The dimensions of the room are ……

If $x^2+4ax+3=0x^2+4ax+3=0$ and $2x^2+3ax-9=02x^2+3ax-9=0$ have a common root, then the value of ‘a’ is ……

The product of two consecutive natural numbers is 600. The numbers are …