Find the value of k , if one of the two roots of the equation : x2 + k X – 98 = 0 is double the additive inverse of the other.
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Given:

One of the two roots of the given equation is double  the additive inverse of the other.

To find:

The value of k.

Solution:

Let two roots of the given equation are and .

According to the question,

       (Additive inverse of is )

If and are roots of the quadratic equation then

We have,

Here, a =1, b=k and c=-98.

          ...(i)

Now,

Divide both sides by -2.

Taking square root on both sides.

Using (i), we get

Therefore, the value of k is either -1 or 1.

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation:

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.