Question

1) Find the value of k in the equation x2 – 3x + k = 0 if its roots are real, irrational and not equal.

2) Find the value of k in the equation x2 – 2x + k – 1 = 0 if this equation has two equal roots.
3) The graph of 2x2 – 8x + k = 0 crossed the x- axis twice. What is the value k?
4) Find the value of k in the equation 4x2 – 6x + 4 (k – 1) = 0 if it has only one solution.
5) Find the value of k in the equation afdahx2 – 4x + k + 1 = 0 if this quadratic equation has no solution.

with solution.

Answer 1

b^2-4ac(formula for finding the roots )

Explanation:

1)9-4k=0

k=9/4(roots are real )

2)4-4k+4=0

8-4k=0

k=2(the roots are real )

3)64-8k=0

k=8

4)36-16k+16=0

52-16k=0

k=52/16=13/8

16-4k+4=0

k=5