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svet-max [94.6K]
4 years ago
6

What are the solutions to the equation x2 = 9? Explain why is more than one solution to the equation.

Mathematics
1 answer:
Firdavs [7]4 years ago
6 0

ANSWER

x =  - 3 \:  \: or \:  \: x = 3

The degree is two so it must have more than one solution.

EXPLANATION

The given equation is

{x}^{2}  = 9

Let us use the square root method to solve this equation.

Since the degree of x is two, the <em>fundamental theorem of algebra</em> says it must have 2 roots.

We take square root to obtain,

x =  \pm \sqrt{9}

x =  \pm3

Split the plus or minus sign to obtain,

x =  - 3 \:  \: or \:  \: x = 3

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