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Equations, SM-Bank 065

Solve the quadratic equation  \(x^2-1=48\)  for  \(x>0\).  (2 marks)

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\(x=7\)

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\(x^2-1\) \(=48\)
\(x^2\) \(=48+1\)
\(x^2\) \(=49\)
\(\sqrt{x^2}\) \(=\sqrt{49}\)
\(x\) \(=\pm7\)

 
\(\therefore\ \text{Since}\ x>0\ \ x=7\)

Filed Under: Equations Tagged With: num-title-ct-core, smc-4215-35-Quadratics

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