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a month ago

If (x + 2)^2 = 9 and (y + 3)^2 = 25 , then the maximum value of x/y is... (GMAT Quants)

If (x + 2)^2 = 9 and (y + 3)^2 = 25 , then the maximum value of x/y is

A)1/2
B)5/2
C)-1/2
D)1/8
E)5/8

Drop your answers below!
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Yocket Hub Author

a month ago

(x + 2)² = 9 We have (something)² = 9 So, EITHER something = 3 OR something = -3 In other words, EITHER x + 2= 3 OR x + 2 = -3 If x + 2= 3. then x = 1 If x + 2= -3. then x = -5 (y + 3)² = 25 We have (something)² = 25 So, EITHER something = 5 OR something = -5 In other words, EITHER y + 3= 5 OR y + 3 = -5 If y + 3= 5, then y = 2 If y + 3= -5, then y = -8 We want to MAXIMIZE the value of x/y If th... See more

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