Math, asked by spirit2071, 7 months ago

please tell the answer step by step​

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Answered by GouriArora0511
1

Answer:

x = 10

Step-by-step explanation:

 ({x}^{2}  - 14x + 49 )\div ( {x}^{2}  - 49) = 3 \div 17

First we solve LHS

 {x}^{2}  - 7x - 7x + 49 \div   {x}^{2}  -  {7}^{2}

x(x - 7) - 7(x - 7) \div (x + 7)(x - 7)

x - 7 \div x + 7

(x - 7) \div (x + 7) = 3 \div 17

17(x - 7) = 3(x + 7)

17x - 119 = 3x + 21

17x - 3x = 21 + 119

14x = 140

x = 140 \div 14

x = 10

there is only single value of x

Answered by adinavinoji05
1

Answer:

x=10

Step-by-step explanation:

x²- 14x + 49 / x²-49 = 3/17

x² - 2 (7×1)x + 7² / x² - 7² = 3/17                               (a-b)² = a² -2ab + b²

(x-7)² / (x+7)(x-7) = 3/17                                             a²-b² = (a+b)(a-b)

(x-7)(x-7) / (x+7)(x-7) = 3/17                                       (x-7)² = (x-7)(x-7)  

x-7 / x= 7 = 3 / 17                 {cutting x-7 from numerator and denominator}

17(x-7)= 3(x+7)                       {cross multiplication}

17x - 119 = 3x + 21                 {opening the bracket}

17x - 3x = 21 + 119                

14x = 140

x = 140/40

x = 10                                      

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