Sachin and Rahul attempted to solve a quadratic equation. Sachin made a mistake in writing down the constant term and ended up in roots (4,3). Rahul made a mistake in writing down coefficient of x to get roots (3, 2). The correct roots of equation are:

In solving quadratic equation x^(2) + px + q = 0 , one student makes mistake only in the constant term obtains 4 and 3 as the roots. Another students makes a mistake only in the coefficient of x and finds - 5 and - 2 as the roots. Determine the correct equation

Q. Two students while solving a quadratic equation in x, one copied the constant term incorrectly and got the roots as 3 and 2. The other copied the constant term and coefficient of x^2 as -6 and 1 respectively. The correct roots are :

The quadratic equation whose one root is (-3+ i sqrt7)/(4) is

The quadratic equation with rational coefficients whose one root is 3+sqrt2 is

Two candidates attempt to solve a quadratic equation of the form x^(2)+px+q=0 . One starts with a wrong value of p and finds the roots to be 2 and 6. the other starts with a wrong vlaue of q and finds the roots to be 2 and -9. find the correct roots and the equation.

Form a quadratic equation with real coefficients whose one root is 3-2idot

Find the nature of roots of the quadratic equation 4x^(2)-5x+3=0 .