USING DISCRIMINANT FIND THE MISSING COEFFICIENT WORKSHEET

Problem 1 :

For what value of K the roots of equation 2x² + 5x + k = 0 will be rational and equal.

Solution

For what value of K the roots of the given equations are equal. 

Problem 2 :

x² + 3(k + 1)x + 4k + 5 = 0

Solution

Problem 3 :

x² + 2(k – 2)x – 8k = 0

Solution

Problem 4 :

(3k + 6)x² + 6x + k = 0

Solution

Problem 5 :

(k + 2)x² – 2kx + k – 1 = 0

Solution

Problem 6 :

For what value of k the equation (4–k) x² + 2(k+2) x + 8k + 1 = 0 will be a perfect square.

(Hint : The equation will be perfect square if Disc. b² – 4ac = 0 )

Solution

Problem 1 :

Find all the values of a such that

ax² + 3x + 5 = 0

has two real roots.

Solution

Problem 2 :

Find all values of a such that ax² + 48x + 64 = 0 has one real root (a double root)

Solution

Problem 3 :

Find all the values of a such that 

ax² + 3x - 6 = 0

has two imaginary roots.

Solution

Problem 4 :

Find all the values of such that 

2x² - 6x + c = 0

has two imaginary roots.

Solution

Problem 5 :

Find all values of c such that -4x² + 8x + c = 0 has two real roots.

Solution