Question

If a/b =5/2 then find 6a²+5b²/6a²-5b²​

Answer 1

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Answer 2

$\frac{a}{b} = \frac{5}{2}$

a = 5

b = 2

$\frac{(6 {a}^{2} + 5 {b}^{2}) }{(6 {a}^{2} - 5 {b}^{2})} \\ \\ = \frac{(6 {(5)}^{2} + 5 {(2)}^{2}) }{(6 {(5)}^{2} - 5 {(2)}^{2})} \\ \\ = \frac{(6 \times 25) + (5 \times 4)}{(6 \times 25) - (5 \times 4)} \\ \\ = \frac{150 + 20}{150 - 20} \\ \\ = \frac{170}{130} \\ \\ = \frac{17}{13}$

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