Solve the following equation fory: 2 + √4y – 3 = 11

A. y = 18

B. y = 3

C. y = 36

D. y = 6

Solve the following equation fory: 2 + √4y – 3 = 11

A. y = 18

B. y = 3

C. y = 36

D. y = 6

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It's hard to tell if the radical extends over the 4 & y, or just the 4. The answer will vary depending which is true.

2 + sqrt(4)y -3 = 11 * get all the numbers on one side, subtract 2 and +3 to both sides

sqrt(4)y = 12 * divide by sqrt(4) on both sides

y = 12/sqrt(4) * square both sides

y^2 = (12^2)/(sqrt(4)^2)

y^2 = 144/4

y^2 = 36 * take the sqrt of both sides

y = +6 or -6

OR

2 + sqrt(4y) -3 = 11 * get all the numbers on one side, subtract 2 and +3 to both sides

sqrt(4y) = 12 * square both sides

4y = 12^2

4y = 144 * divide both sides by 4

y = 36

Colleen B. | Psychology and Sociology TutorPsychology and Sociology Tutor

Y:2 + √4Y-3 = 11

+3 +3

y: 2+ √4Y = 14

-2 -2

Y: √4Y = 12

(√4Y)^{2} 12^{2}

Y: 4Y = 144

⁄4 /4

Y: 36

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