If \(K\sqrt{28}+\sqrt{63}-\sqrt{7}=0\), find K.

MATHEMATICS
WAEC 1999

If \(K\sqrt{28}+\sqrt{63}-\sqrt{7}=0\), find K.

  • A. -2
  • B. -1
  • C. 1
  • D. 2

Correct Answer: B. -1

Explanation

\(K\sqrt{28}+\sqrt{63}-\sqrt{7}=0\\

2K\sqrt{7}+3\sqrt{7}-\sqrt{7}=0\\

2K\sqrt{7}=-2\sqrt{7}\\

K=\frac{-2\sqrt{7}}{2\sqrt{7}}\\

K=-1\)



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