What is the value of 'c' so that -9 and 9 are both solutions of x^2+c=103?

c = 22

Step-by-step explanation:

Remark

You have to make c large enough so that when subtracted from 103, you get 81

Solution

x^2 + c = 103

x = 9

9^2 + c = 103

81 + c = 103

Subtract 81 from both sides

81 - 81 + c = 103 - 81

c = 22

- 9 does exactly the same thing.

Check

x^2 + 22 = 103

x^2 - 22 = 103 - 22

x^2 = 81

sqrt(x^2) = sqrt(81)

x = +/- 9

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.