WBBSEClass XMathematicsQuadratic Equation With One Variable03 Mark2023 Moderate

QQuestion

Solve: \frac{x-3}{x+3}\frac{x+3}{x-3} + 6 \frac{6}{7} = 0

Exam-ready answer 03 Mark

Answer

\text{x² - 6x + 9 - (x² + 6x + 9)}\over x² - 9 + 48\over 7 = 0

or, – \text{12x}\over \text{x² - 9} + 48\over 7 = 0

or, -84x + 48x² – 432 = 0

or, -7x + 4x² – 36 = 0

or, 4x² – 7x – 36 = 0

or, 4x² – (16x – 9x) – 36 = 0

or, 4x² – 16x + 9x – 36 = 0

or, 4x(x – 4) + 9(x – 4) = 0

or, (x – 4)(4x + 9) = 0

x = 4, -9/4

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