Discriminant

Q.

If the discriminant of the quadratic equation 4x² + px + 25 = 0 is 0, find the value of p, given that p is a natural number.

1. 10

2. 20

3. 30

4. -20

Q.

Find the value of k if the quadratic equation $x^2+4x-k=0$ has real and distinct roots.

1. $k<-4$

2. $k>-4$

3. $k\le -4$

4. $k\ge -4$

Q.

Find the discriminant of the equation: $2x^2-3x-4=0$

1. 41

2. -41

3. -43

4. 43

Q.

Find the value of b if the equation $x^2-x+b=0$ does not possess real roots.

1. b > $\frac{1}{8}$

2. b > $\frac{1}{4}$

3. b > $\frac{1}{2}$

4. b > 1

Q.

The equation $k^2{x}^2+kx+1=0$ has :

1. one real root

2. two real roots

3. no real roots

4. equal roots

Q.

The roots of equation, x² + 1 = 0, are

1. (1, 1)
2. (1, -1)
3. (1, 2)
4. Has no roots

Q.

The discriminant of the equation $2x^2-5x-2=0$ is = ___.

Q.

State true or false. The discriminant for general quadratic equation $a{x}^2+bx+c=0$ is $b^2–4ac$.

1. True

2. False

Q.

If the equation $x^2+2(k+2)x+9=0$ has equal roots, then find the values of k.

1. 1, 4

2. –1, 5

3. 1, –5

4. –1, –4

Q.

The discriminant of the quadratic equation $3x^2-4x-2=0$ is

1. 40

2. 20

3. 24

4. 48