Question

If K=√5-√5-√5... , then the value of K will be:​

Answer 1

Answer:

Explanation:

Given equation is kx

2

−2

5

​

+4=0

a=k,b=−2

5

​

,c=4

∴D=b

2

−4ac=(−2

5

​

)

2

−4×k×4=20−16

We know that a quadratic equation has real and equal roots, if D=0.

⇒20−16k=0

⇒−16k=−20

⇒k=

16

20

​

=

4

5

​

Answer 2

If K=√5-√5-√5... , then the value of K will be:

If the standard deviation of the numbers −1,0,1,k is √5,

then value of k2 is

Given ,

k = √5-√5-√5.

the value of K will be  ...

Mean =¯¯¯x  =  ∑xn

 

          =  −1+0+1+k4=k4

    S.D. =  √∑(x)2n−¯¯¯x

 ⇒  √k2+24−k216  =  √5

 ⇒  3k2+816  =  5

 ⇒  k2  = 24