Question

If (a + b):(a - b)=5:3, then (a² + b²): (a²- b²) = ?​

Answer 1

Answer:

17:15

Step-by-step explanation:

Solution:

Since (a+b):(a-b) = 5:3 the value of 'b' will be same in both (a+b) and (a-b) so,

(a+b) = 5x

b = 5x - a

(a - b) = 3x

b = a - 3x

Equation : 5x - a = a - 3x

: 2a = 8x

: a = 4x and b = x

then (a² + b²) : (a² - b²) = (16x² + x²) : (16x² - x²) = 17:15