(2x+1)²+(2x-1)²/(2x+1)²-(2x-1)²=17/8 Solve the equation.
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x had two solutions , 2 & 1/8
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Answer:
x = 1/8 & 2
Step-by-step explanation:
((2x+1)²+(2x-1)²)/((2x+1)²-(2x-1)²)=17/8 Solve the equation.
Numerator = (2x+1)²+(2x-1)² = 4x² + 1 + 4x + 4x² + 1 - 4x = 8x² + 2
Denominator = (2x+1)²-(2x-1)² = 4x² + 1 + 4x -( 4x² + 1 - 4x) = 8x
(8x² + 2)/8x = 17/8
cancelling 8 from both sides
=> (8x² + 2)/x = 17
=> 8x² + 2 = 17x
=> 8x² -17x + 2 = 0
=> 8x² - 16x -x + 2 = 0
=> 8x(x-2) -1(x-2) = 0
=> (8x -1)(x-2) = 0
=> x = 1/8 & 2
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