Let ne Z and AABC be a right triangle with right angle at C. If sin A and sin B are the roots of the quadratic equation (5n+8)x² - (7n-20) x + 120 = 0, then find the value of n.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.2: Completing The Square
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Let ne Z and AABC be a right triangle with right angle at
C. If sin A and sin B are the roots of the quadratic equation
(5n+8)x² - (7n-20) x + 120=0, then find the value of n.
Transcribed Image Text:Let ne Z and AABC be a right triangle with right angle at C. If sin A and sin B are the roots of the quadratic equation (5n+8)x² - (7n-20) x + 120=0, then find the value of n.
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