Question

if the equation x2+ 4x+ k=0 has real and distinct roots, then find the values of k.​

Answer 1

Answer:

here:

Step-by-step explanation:

The given quadratic equation is

x^2+4x+k=0

A quadratic equation ax^2+bx+c=0 has real roots if

b^2-4ac\geq 0

We have,

a=1,b=4,c=k

(4)^2-4(1)(k)\geq 0

16-4k\geq 0

16\geq 4k

Divide both sides by 4.

4\geq k

Therefore the value of k must be less than or equal to 4.

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