Make x the subject of the relation d = {6/x - y/2}

Correct Answer is : x = 122d2+y12/2d² + y2d2+y12

Correct Answer is : x = 122d2+y12/2d² + y2d2+y12

Test Index

WAEC Mathematics 2017 Paper

Question : 29

Total: 49

\sqrt{\frac{6}{x} - \frac{y}{2}}

Solution:

Concept:

Make

x

the subject by squaring, then rearranging terms involving

x

Explanation:

Start with

d = \sqrt{\frac{6}{x} - \frac{y}{2}}

Square both sides to remove the square root:

d^2 = \frac{6}{x} - \frac{y}{2}

Multiply every term by

2x

to clear the fractions:

2x d^2 = 12 - xy

Bring all terms with

x

to one side:

2x d^2 + xy = 12

Factor out

x

x(2d^2 + y) = 12

Divide both sides by

(2d^2 + y)

x = \frac{12}{2d^2 + y}

Answer:

x = \frac{12}{2d^2 + y}

, which matches option D.

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