मराठी

If X = 1 and Y = 6 is a Solution of the Equation 8x – Ay + A2 = 0, Find the Value of A. - Mathematics

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प्रश्न

If x = 1 and y = 6 is a solution of the equation 8x – ay + a2 = 0, find the value of a.

उत्तर

Given that

 `8x - ay + a ^2 = 0`

It is given that x = 1 and y = 6 is a solution on the equation  `8x - ay + a ^2 = 0`

∴ ` 8 xx 1 -a xx 6 + a^2 + 0`

 ⇒ ` 8 - 6 a + a^2 = 0 `

 ⇒ `a^2 - 6a + 8 = 0 `

 ⇒ `a^2 - 4a - 2a + 8 = 0 `

 ⇒ `a (a - 4 ) ( a - 2 ) = 0 `

 ⇒ `a - 4 = 0 or a -2 = 0 `

 a - 4 = 0 or a = 2

  Hence a = 4 or a = 2 

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Linear Equations in Two Variables - Exercise 7.2

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आरडी शर्मा Mathematics [English] Class 9
पाठ 7 Linear Equations in Two Variables
Exercise 7.2 | Q 7

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