Question

Help please! Solve x^2-4=5 by graphing the related function.

1)there are two solutions 1 and -1
2)there is one solution 1
3)there are no real number solutions.
4)there are two solutions 3 and -3

Answer 1

4) There are two solutions 3 and -3

Explanation:

Here, the given equation,

`x^2-4=5`

Let,

`f(x) = x^2-4`

And,
`g(x)=5`

By graphing f(x) and g(x),

We found that the intersection point of f(x) and g(x) are (-3,5) and (3,5),

Thus, the solution of the given equation = x-coordinates of the intersection points of f(x) and g(x),

Hence, the solution of the given equation are -3 and 3.

Option 4 is correct.

Answer 2

I think the correct answer from the choices listed above is option 4. The solution of the equation given as x^2-4=5 would be 3 and -3. We calculate as follows:

x^2-4=5
x^2 = 5 + 4 = 9
x = √9
x1 = 3
x2 = -3

Hope this answers the question. Have a nice day. Feel free to ask more questions.