Simultaneous equations in square roots

Simultaneous equations in square roots

Secondary 2

TGM Original Questions

For \(x\ge0\) and \(y\ge0\), solve the following pair of simultaneous equations.

\(3\sqrt{x}+2\sqrt{y}=13\)

\(5\sqrt{x}-\sqrt{y}=13\)

Solution:

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Answer:\(x=9\), \(y=4\).

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