zacpri6730 zacpri6730
  • 15-05-2019
  • Mathematics
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What are the solutions to the equation x2 = 9? Explain why is more than one solution to the equation.

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 15-05-2019

ANSWER

[tex]x = - 3 \: \: or \: \: x = 3[/tex]

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

EXPLANATION

The given equation is

[tex] {x}^{2} = 9[/tex]

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

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

We take square root to obtain,

[tex]x = \pm \sqrt{9} [/tex]

[tex]x = \pm3[/tex]

Split the plus or minus sign to obtain,

[tex]x = - 3 \: \: or \: \: x = 3[/tex]

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