Neha Tyagi and Amit Rastogi Solutions for Chapter: Quadratic Equations, Exercise 1: Exercise

If $\frac{1}{2}$ is a root of the equation $x^2+kx-\frac{5}{4}=0$, then the value of $k$ is

Which of the following equations has the sum of its roots as $3$?

Value(s) of $k$ for which the quadratic equation $2x^2-kx+k=0$ has equal roots is/are

Which constant must be added and subtracted to solve the quadratic equation $9x^2+\frac{3}{4}x-\sqrt{2}=0$ by the method of completing the square?

The quadratic equation $2x^2-\sqrt{5}x+1=0$ has

Which of the following equations has two distinct real roots?

Which of the following equations has no real roots?

${(x^2+1)}^2-x^2=0$ has