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In Each of the Following Determine The; Value of K for Which the Given Value is a Solution of the Equation: X2 + 2ax - K = 0; X = - A. - Mathematics

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प्रश्न

In each of the following determine the; value of k for which the given value is a solution of the equation:
x2 + 2ax - k = 0; x = - a.

योग

उत्तर

Since, x = -a is a root of the equation
x2 + 2ax - k = 0
⇒ (-a)2 + 2a x (-a) - k = 0
⇒ a2 - 2a2 - k = 0
⇒ -k = a2
⇒ k = -a2.

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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 27.3
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