Math, asked by RudrakshiNanda, 10 months ago

Solve this immediately.​

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RudrakshiNanda: class9
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Answers

Answered by kuldeep372
1

HERE IS THE ANSWER MATE

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RudrakshiNanda: see that 257x will be 275x
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Answered by Anonymous
1

Solution :-

Q: √(25x - 29) - √(4x - 11) = 3√x

On squaring both sides we get,

=> {√(25x - 29) - √(4x - 11)}² = {3√x}²

=> 25x - 29 + 4x - 11 - 2{√(25x - 29) × √(4x - 11)} = 9x

=> 29x - 40 - 2√(100x² - 275x - 116x + 319) = 9x

=> 29x - 9x - 40 = 2√(100x² - 391x + 319) = 0

=> 20x - 40 = 2√(100x² - 391x + 319)

=> (20x - 40)/2 = √(100x² - 391x + 319)

=> 10x - 20 = √(100x² - 391x + 319)

Again squaring both side,

=> {10x - 20}² = {√(100x² - 391x + 319)}²

=> 100x² + 400 - 400x = 100x² - 391x + 319

=> 100x² - 100x² - 400x + 391x = 319 - 400

=> - 9x = - 81

=> x = - 81/-9 = 9

Hence,

∴ x = 9

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