Q- IN A CLASS, ONE THIRD OF STUDENTS HAD GONE TO WATCH DRAMA. TWICE THE SQUARE ROOT OF THE STUDENTS HAD GONE TO WATCH THE MAGIC SHOW AND REMAINING 12 STUDENTS HAD GONE TO WATCH A FOOTBALL MATCH. FIND THE TOTAL NUMBER OF STUDENTS IN THE CLASS............GIVE ANSWER WITH STEPS OR ELSE WILL BE REPORTAE
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parmarfreya12:
from where did that 2x/3 come bro??
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Hello sis ,,.!!!
Hope it helps you .,!!!
Let the total number of students in Class be XThus according to questionStudent went to drama = A = X/3Student went to magic show =B = 2 root XStudent went to football = C = 12Thus
X= X/3 + 2 root X + 122X/3 = 2 root X + 122 root X= 2X/3 - 12Squaring both sides4X = 4X^2/9 + 144 - 48X/3 4X^2/9 - 60X/3 + 144 = 0 4X^2/9 - 20X + 144 = 04X^2 - 180X + 1296 = 0X^2 - 45X + 324 = 0X^2 - 36X - 9X + 324 = 0X(X - 36) - 9 (X-36) = 0X = 36thus total Students = 36and thats it------------------------
Happy Learning .,!! :-)
Hope it helps you .,!!!
Let the total number of students in Class be XThus according to questionStudent went to drama = A = X/3Student went to magic show =B = 2 root XStudent went to football = C = 12Thus
X= X/3 + 2 root X + 122X/3 = 2 root X + 122 root X= 2X/3 - 12Squaring both sides4X = 4X^2/9 + 144 - 48X/3 4X^2/9 - 60X/3 + 144 = 0 4X^2/9 - 20X + 144 = 04X^2 - 180X + 1296 = 0X^2 - 45X + 324 = 0X^2 - 36X - 9X + 324 = 0X(X - 36) - 9 (X-36) = 0X = 36thus total Students = 36and thats it------------------------
Happy Learning .,!! :-)
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