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: The equations 5x2 + 12x + 13 = 0 and ax2 + bx + c = 0 (a,b,c belongs to R) have a common root, where
a, b, c are the sides of the triangle  ABC. Then find angle C

Asked by gargpuneet989 31st August 2018, 8:04 PM
Answered by Expert
Answer:
5x2 + 12x + 13 = 0
Discriminant of the given equation is -116 < 0
begin mathsize 16px style straight a over 5 equals straight b over 12 equals straight c over 13 equals straight k end style
a = 5k, b = 12k and c = 13k
Find cos C using formula we get 
cosC = 0
C = 90°
Answered by Expert 10th September 2018, 11:44 AM
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