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HELP ME YALLLL I HAVE A QUESTION ❓⁉️❓❓

Multiple choice :
A) k=2
B) k=0
C) k<4
D) k<or = 0
E)k< or = 4


HELP ME YALLLL I HAVE A QUESTION ❓⁉️❓❓ Multiple choice : A) k=2 B) k=0 C) k<4 D-example-1
User Askming
by
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1 Answer

4 votes

Answer: Choice C) k < 4

====================================================

Step-by-step explanation:

Recall the discriminant formula is

d = b^2 - 4ac

which is the stuff found under the square root in the quadratic formula.

If d > 0, then the equation ax^2+bx+c = 0 will have two different real number roots.

So,

d > 0

b^2 - 4ac > 0

4^2 - 4(1)(k) > 0

16 - 4k > 0

16 > 4k

4k < 16

k < 16/4

k < 4 which points us to choice C

For example, if k = 0, then the equation x^2+4x+k = 0 becomes x^2+4x = 0. This has the two different roots of x = 0 and x = -4.

User Chad Baldwin
by
8.5k points

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