If \(y = \sqrt{ax-b}\) express x in terms of y, a and b

MATHEMATICS
WAEC 1999

If \(y = \sqrt{ax-b}\) express x in terms of y, a and b

  • A. \(x = \frac{y^2-b}{a}\)
  • B. \(x = \frac{y+b}{a}\)
  • C. \(x = \frac{y-b}{a}\)
  • D. \(x = \frac{y^2 + b}{a}\)

Correct Answer: D. \(x = \frac{y^2 + b}{a}\)

Explanation

\(y = \sqrt{ax-b}\)

\(y^2 = ax-b\)

\(y^2 +b = ax\)

\(x = \frac{y^2 + b}{a}\)



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