Question

2) If x= 5 is a root of equation kx2 - 14x + 5 = 0 then find the value of k by
completing the following activity.
Solution: One of the roots of equation
kx2 - 14x - 5 = 0 is
Now Let x =
in the equation
K k
2-14
- 5 = 0
25 k - 70-5= 0
25 k-
= 0
25 k =
[
k=
= 3​

Answer 1

Answer-

$\frac{15}{2}$

Step by step solution-

Here the given value is x=5

The given question is kx2 -14x -5=0

kx2 -14x -5=0

=>k×5×2 -14×5 -5=0. [x=5]

=>10k -70 -5=0

=>10k -75=0

=>10k=75

=> k=

$\frac{75}{10}$

=>[75÷5=15] [10÷5=2]

=> k=

$\frac{15}{2}$

-so the answer is =>

$\frac{15}{2}$