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

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

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

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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:

Concept:

A quadratic equation in two variables can be factored to find the possible ratios of

x

and

y

Explanation:

Given:

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

Split the middle term:

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

Group the terms:

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

Factor out

(x-y)

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

So either

x-y=0

5x-4y=0

Thus

x=y

5x=4y

Hence

x:y=1:1

x:y=4:5

Answer:

x:y=4:5

1:1

Correct option: C.

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