nu ll-3y - 8. Shade the region boundeduy the lhes and the y-axis.In a

1.	nu ll-3y - 8. Shade the region boundeduy the lhes and the y-axis.In a class, one-third of students had gone to watch drama. Twice the square root of the students had gone to watchmagic show and remaining 12 students had gone to watch football match. Find the total number of students in theclass.
Answer» 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 √X + 122X/3 = 2 √X + 122 √X= 2X/3 - 12Squaring both sides4X = 4X^2/9 + 144 - 48X/34X^2/9 - 60X/3 + 144 = 04X^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 = 36

nu ll-3y - 8. Shade the region boundeduy the lhes and the y-axis.In a class, one-third of students had gone to watch drama. Twice the square root of the students had gone to watchmagic show and remaining 12 students had gone to watch football match. Find the total number of students in theclass.

Answer»

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 √X + 122X/3 = 2 √X + 122 √X= 2X/3 - 12Squaring both sides4X = 4X^2/9 + 144 - 48X/34X^2/9 - 60X/3 + 144 = 04X^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 = 36

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nu ll-3y - 8. Shade the region boundeduy the lhes and the y-axis.In a class, one-third of students had gone to watch drama. Twice the square root of the students had gone to watchmagic show and remaining 12 students had gone to watch football match. Find the total number of students in theclass.

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