5 2 By using a suitable substitution, solve the equation \[ (2 x-3)^{2}-\frac{4}{(2 x-3)^{2}}-3=0 \] \( \qquad \) \( \qquad \) \( \qquad \) \[ (2 x-3)^{2}(2 x-3)^{2}-4-3(2 x \] \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \[ 16 x^{4}-96 x^{3}+216 x^{2}-216 x+81-4-6 x+ \]
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Then the equation becomes: \[ u^2 - \frac{4}{u^2} - 3 = 0 \] Show more…
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