Question

find the values of k

Answer 1

value of K =5
I hope you understand

Answer 2

The value of k = 5 for which one root of the quadratic equation kx² - 14x + 8 = 0 is 2

Given :

The quadratic equation kx² - 14x + 8 = 0

To find :

The value of k for which one root of the quadratic equation is 2

Solution :

Step 1 of 2 :

Write down the given Quadratic equation

The given Quadratic equation is

kx² - 14x + 8 = 0

Step 2 of 2 :

Find the value of k

Here it is given that one root of the quadratic equation kx² - 14x + 8 = 0 is 2

So by the given condition

$\displaystyle \sf{ k \times {2}^{2} - (14 \times 2) + 8 = 0 }$

$\displaystyle \sf{ \implies 4k - 28+ 8 = 0 }$

$\displaystyle \sf{ \implies 4k - 20= 0 }$

$\displaystyle \sf{ \implies 4k = 20 }$

$\displaystyle \sf{ \implies k = \frac{20}{4} }$

$\displaystyle \sf{ \implies k = 5}$

Hence the required value of k = 5

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