Question

a²+b²÷a²-b²=25÷7 find a/b ​

Answer 1

a/b=4/3.

Step-by-step explanation:

If a²−b²=7 and a²+b²=25, then what is the value of a/b?

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Answered:-

2 years ago

Let a^2-b^2=7 be equation (1)

& a^2+b^2=25 be equation (2)

From equation (1)

a^2=7+b^2

Substitute above equation in equation (2), we get,

7+b^2+b^2=25

7+(2*b^2)=25

(2*b^2)=25–7

(2*b^2)=18

b^2=18/2

b^2=9

Substitute the value of b^2 in equation (1),

We get,

a^2–9=7

a^2=7+9

a^2=16

Thus, a^2/b^2=16/9

a/b=√(16/9)

a/b=4/3.