Question

If 4x − 3y = 10 and xy = −1 then find the value of 16x 2 + 9y 2

Answer 1

Answer:

ans = 76

Step-by-step explanation:

solution in image..

Answer 2

Answer:

76

Step-by-step explanation:

Concept= Algebra

Given= The value of expressions.

To find= The value of given expression.

Explanation=

We been given that if 4x − 3y = 10 and xy = −1 then find the value of 16x²+9y².

So it is given that 4x - 3y =10 and xy= -1.

We need to find the value of 16x²+9y².

So we see that 16x² is square of 4x and 9y² is square of 3y. It is evident here that formula of (a-b)² is being used.

(a - b)² = a² + b² - 2ab

So here ( a - b) is 4x - 3y and 4x - 3y = 10

Therefore squaring (4x - 3y) = 10 we get,

=> (4x - 3y)² = 10²

=> (4x - 3y)² = 16x² + 9y² - 2*4x*3y = 100

=> 16x² + 9y² - 24xy =100

we now know that xy = -1, putting this in the solution we get,

=> 16x² + 9y² -24(-1) = 100

=>  16x² + 9y² + 24 = 100

=> 16x² + 9y² = 100 -24

=> 16x² + 9y² = 76

Therefore the value of 16x² + 9y² is 76.

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