It is given that $a$ and $b$ are positive integers such that \(a\left( 4+b\sqrt{7} \ri

Question

It is given that $a$ and $b$ are positive integers such that $a\left( 4+b\sqrt{7} \right)-\left( \sqrt{7}+b \right)=15\sqrt{7}+30$. Form a pair of simultaneous equations and solve them to find the values of $a$ and $b$.

Accepted Answer

$a = 8$, $b = 2$

Polynomials, Cubic Equations and Partial Fractions - Linear and Non-Linear Simultaneous Equations

Polynomials, Cubic Equations and Partial Fractions - Linear and Non-Linear Simultaneous Equations

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