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

Respuesta :

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.

Answer:

4) There are two solutions 3 and -3

Step-by-step explanation:

Here, the given equation,

[tex]x^2-4=5[/tex]

Let,

[tex]f(x) = x^2-4[/tex]

And, [tex]g(x)=5[/tex]

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.

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