Question

the sum of a number and it's inverse is 25/12.what is the number?​

Answer 1

Answer:

sorry muje nahe aaraha

Answer 2

Step-by-step explanation:

. Let x be the number and 1/x be its reciprocal.

Step 2. Then, x%2B1%2Fx=25%2F12 since the sum of a number and its reciprocal is 25/12.

Step 3. Multiply 12x to both sides of the equation to get rid of the denominators.

12x%28x%2B1%2Fx%29=12x%2A25%2F12

12x%5E2%2B12=25x

Step 4. Subtract 25x to put the equation in quadratic form

12x%5E2%2B12-25x=25x-25x

12x%5E2-25x%2B12=0

Step 5. We can use the quadratic formula given as

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

where a=12, b=-25, and c=12.