Question

निम्नलिखित समीकरणों को हल करें
(a) 16x^2-24y=0
(b) 7/2x^2=35
(c) 9x^2+2=18
(d) 11x^2-8=8-14x^2​

Answer 1

$\boxed{\textbf{\large{step by step explanation }}}$

a)) 16x² - 24y = 0

( 4x) ² - (2√6)² = 0

(4x - 2√6)(4x + 2√6) = 0

x = 2√6 / 4 = √6 / 2

OR

x = - 2√6 /4 = -√6 /2

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b)) 7x²/2 = 35

7x² = 70

7x² - 70 = 0

(√7x )² - (70)² = 0

( √7x - √70 ) (√7x + √70 ) = 0

x = √70 / √7 = (√( 70 / 7 )) = √10

OR

x =-(√70/√7)= - (√(70 /7 ))=-(√10)

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c)) 9x²+2=18

9x² = 18 - 2

9x² = 16

9x² - 16 = 0

( 3x)² - (4)² = 0

( 3x + 4 ) ( 3x - 4 ) = 0

x = -4 /3

OR

x = 4/3

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d)) 11x²-8=8-14x²

11x² + 14x² - 8 - 8 = 0

25x² - 16 = 0

(5x)² - (4)² = 0

( 5x + 4 )(5x - 4) = 0

x = -4 /5

OR

x = 4/5

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