If 5x^ 2 - 9xy + 4y^ 2 = 0, then x : y is equal to:

Correct Answer is : (4 : 5) or ( 1 : 1)

Ratio and Proportion Practice Test 5

Question : 7 of 25

Marks: +1, -0

5x^ 2 - 9xy + 4y^ 2 = 0

, then x : y is equal to:

Solution:

5x^2-9xy+4y^2=0

5x^2-5xy-4xy+4y^2=0

5x(x-y)-4y(x-y)=0

(5x-4y)(x-y)=0

5x = 4y, x = y

x : y = 4 : 5, x : y = 1 : 1

∴ x : y = 4 : 5 or 1 : 1

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