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# In the Following, Find the Value Of K For Which the Given Value is a Solution of the Given Equation: 7x2 + Kx - 3 = 0, X=2/3 - Mathematics

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#### Question

In the following, find the value of k for which the given value is a solution of the given equation:

7x2 + kx - 3 = 0, x=2/3

#### Solution

e are given here that,

7x2 + kx - 3 = 0, x=2/3

Now, as we know that x=2/3 is a solution of the quadratic equation, hence it should satisfy the equation. Therefore substituting x=2/3 in the above equation gives us,

7x2 + kx - 3 = 0

7(2/3)^2+k(2/3)-3=0

7(4/9)+(2k)/3-3=0

28/9+(2k/3)-3=0

(2k)/3=3-28/9

(2k)/3=(27-28)/9

(2k)/3=(-1)/9

2k=(-1)/9xx3

2k=(-3)/9

k=((-3)/9)/2

k=(-3)/(9xx2)

k=(-3)/18

k=(-1)/6

Hence, the value of k=(-1)/6

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#### APPEARS IN

RD Sharma Solution for Class 10 Maths (2018 (Latest))
Solution In the Following, Find the Value Of K For Which the Given Value is a Solution of the Given Equation: 7x2 + Kx - 3 = 0, X=2/3 Concept: Quadratic Equations.