Question

FX equals to 1 - cos 4 x where X not equal to zero second K K is equal to zero find the value of k

Answer 1

Hi Mate !!

Given equation :- 4x² - 25x + 37k²

• Sum of the Zeros :-

= \frac{ - coefficient \: \: of \: x}{coefficient \: \: of \: {x}^{2} }=

coefficientofx

2

−coefficientofx

= > \frac{ - ( - 25)}{4} = \frac{25}{4}=>

4

−(−25)

=

4

25

• Product of The Zeros :-

= \frac{constant \: \: term}{coefficient \: \: of \: \: {x}^{2} }=

coefficientofx

2

constantterm

= > \frac{ 37{k}^{2} }{4}=>

4

37k

2

• It is given that the sum and product of equation is equal !! .

So,

\frac{25}{4} = \frac{37 {k}^{2} }{4}

4

25

=

4

37k

2

25 = 37 k²

25/37 = k²

\sqrt{ \frac{25}{37} } = k

37

25

=k

+ - \frac{5}{ \sqrt{37} } = k+−

37

5

=k

So, For both the value of k either 5/√37 or

-5/√37 will satisfy the equation !!

[ May be that 37 is 36 then the value of k will be either 5/6 or -5/6 ]t