Quadratic Equations Quiz 12

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

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

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

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

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

Find the value of k, if the expression $x^2+kx+1$ 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 $x^2+4ax+3=0$ and $2x^2+3ax-9=0$ have a common root, then the value of ‘a’ is ……

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