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In Each of the Following Find the Values of K of Which the Given Value is a Solution of the Given Equation: K X 2 + √ 2 X − 4 = 0 ; X = √ 2 - Mathematics

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प्रश्न

In each of the following find the values of k of which the given value is a solution of the given equation:
`"k"x^2 + sqrt(2)x- 4 = 0; x = sqrt(2)`

योग

उत्तर

`"k"x^2 + sqrt(2)x- 4 = 0; x = sqrt(2)`
Putting x = `sqrt(2)` in L.H.S. of equation
L.H.S = k.`(sqrt(2))^2 + sqrt(2) xx sqrt(2) - 4` = 0
⇒ 2k + 2 - 4 = 0
⇒ 2k - 2 = 0
Hence, k = `(2)/(2)`.

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अध्याय 6: Quadratic Equation - Exercise 1

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आईसीएसई Mathematics [English] Class 10
अध्याय 6 Quadratic Equation
Exercise 1 | Q 60.3
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