Question

If a:b = 3:4, then what is the value of the expression ((3a^2 + 4b) / (3a - 4b^2))

Answer 1

Given :- If a:b = 3:4, then what is the value of the expression ((3a^2 + 4b) / (3a - 4b^2)) .

Solution :-

As we can see ,the given expression is not homogeneous.

So, there will be no exact answer. {Homogeneous means that a and b must have the same degrees in each term.}

Let us assume that, a and b are 3x and 4x respectively .

then,

→ {(3a² + 4b) / (3a - 4b²)}

Putting values of a and b , we get,

→ {(3 * (3x)² + 4 * 4x) / (3 * 3x - 4 * (4x)²}

→ {(3 * 9x² + 16x) / (9x - 4 * 16x²)}

→ {(27x² + 16x) (9x - 64x²)}

→ x(27x + 16) / x(9 - 64x)

→ (27x + 16) / (9 - 64x)

Therefore, we can conclude that, now for every value of x , we will get a different answer here.

Learn more :-

If the sum of 3 natural numbers a,b, and c is 99 and a has 3 divisors then what will be the minimum value of b+c.

https://brainly.in/question/25114660

Target Olympiad

1. Find the values of A and B if the given number 7A5798B8 is divisible by 33.

https://brainly.in/question/11968792