Given that $a = \frac{b + 2\sqrt{x}}{\sqrt{x}}$, express $x$ in terms of $a$ and $b$. [3] He

Question

Given that $a = \frac{b + 2\sqrt{x}}{\sqrt{x}}$, express $x$ in terms of $a$ and $b$. [3] Hence or otherwise, find the value of $x$ when $a = 3$ and $b = -4$. [1]

Accepted Answer

(i) $x=\frac{b^2}{(a-2)^2}$, where $\frac{b}{a-2}>0$; if $a=2,b=0$, any $x>0$. (ii) No real solution.

2023 EOY Sec 2 ACSI P1 Q6

2023 EOY Sec 2 ACSI P1 Q6

Solution:

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