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

Mathematics

2 answers:

kotykmax [81]3 years ago

8 0

Answer:

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

Gnoma [55]3 years ago

4 0

Answer:

c = 22

Step-by-step explanation:

x^2 + c = 103 so if x is either + or - 9, x^2 = 81 so...

81 + c = 103

c = 22

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