By using a suitable substitution, solve the equation $$\[ (2 x-3)^{2}-\frac{4}{(2 x-3)^{2}}-3=0 . \]$$ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................
Exam No：9709_m21_qp_12 Year：2021 Question No：2
Answer:
\(u=2 x-3\) leading to \(u^{4}-3 u^{2}-4[=0]\)
\(\left(u^{2}-4\right)\left(u^{2}+1\right)[=0]\)
\(
2 x-3=[\pm] 2
\)
\(
x=\frac{1}{2}, \frac{5}{2} \text { only }
\)
\(\left(u^{2}-4\right)\left(u^{2}+1\right)[=0]\)
\(
2 x-3=[\pm] 2
\)
\(
x=\frac{1}{2}, \frac{5}{2} \text { only }
\)
Knowledge points:
1.1.5 recognise and solve equations in which are quadratic in some function of
Solution:
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