M1
2 marks · average 0.1 94% scored 0
The question in our own words · page 13
\(f(x)=\dfrac{w^2}{(x-1)^2}\) for \(x\neq1\), and \(g(x)=(x-w)^2\). Part b(i) finds the minimum point of \(y=(x-1)(x-w)\). For which positive values of \(w\) does \(f(x)=g(x)\) have exactly three solutions? No calculator.
Source: VCAA 2025 VCE Mathematical Methods Examination 1, Question 9b(ii)
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