Question

If the equation x^2+4x+k = 0 has real and distinct roots then​

Answer 1

Answer:

the value of K is smaller than 4

Answer 2

Correct Question-

If the equation x^2+4x+k = 0 has real and distinct roots then k=

Your Answer-

Given-

• Equation - x^2+4x+k = 0
• It has real and distinct roots

To find-

• Value of k

Solution-

We know if the Quadratic equation has real and distinct roots then D > 0

And we also know

D = b² - 4ac

=> b² - 4ac > 0

Here

a = 1

b = 4

c = k

So, replacing values now

=> 4² - 4(1)(1) > 0

=> 16 - 4k > 0

=> -4k > -16

=> 4k < 16

=> k < 16/4

=> k < 4

More to know-

• If the value of D = 0 then the roots are equal.
• If the value of D is less than zero then the roots are imaginary.
• D is also called as discriminant