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The figure below shows a circle centre O. AB and PQ are chords intersecting externally at a point C. AB = 9cm, PQ = 5cm and...

The figure below shows a circle centre O. AB and PQ are chords intersecting externally
at a point C. AB = 9cm, PQ = 5cm and QC = 4cm. Find the value of x

Answers

x (x+9) = 4x9
x² + 9x – 36 = 0
(x² – 3x) + (12x -36=0)
x(x-3) + 12(x-3) =0
(x+12) (x-3) = 0
x -3 = 0
x = 3 only

Kavungya answered the question on June 19, 2019 at 13:57

Answer Attachments

Next: In the figure below, ABCD is a cyclic quadrilateral and BD is a diagonal. EADF is a straight line, CDF = 68^o, BDC = 45^o...

Previous: The chords AB and PQ intersects internally at O. Given that the length of OP=8cm, OA= 4.5cm and OQ=6cm. Calculate the length of OB

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