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hnori22003

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a )

[tex] {x}^{2} = 16[/tex]

[tex]x = ± \: 4[/tex]

Two solutions.

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b )

[tex]4 {x}^{2} = 0[/tex]

[tex]x = 0[/tex]

One solution .

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c )

[tex] {x}^{2} = - 16[/tex]

[tex]No \: \: solution.[/tex]

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d )

[tex]3x + 2 = 14[/tex]

[tex]x = 4[/tex]

One solution.

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e )

[tex] {x}^{2} - 1 = 24[/tex]

[tex] {x}^{2} = 25[/tex]

[tex]x =± \: 5[/tex]

Two solutions.

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f )

[tex](x + 8)(x - 8) = 0[/tex]

[tex]x = - 8 \: \: or \: \: x = 8[/tex]

Two solutions .

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Except from the option(c), all equations have 2 solutions.

What is an equation?

"An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign"

Given equations are:

a. x² = 16

This is a quadratic equation. This equation has two solutions.

b. 4x² = 0

This is a quadratic equation. This equation has two solutions.

c. x² = - 16  

This equation doesn't have any solution.

d. 3x + 2 = 14

This is a quadratic equation. This equation has two solutions.

e. x² - 1 = 24

This is a quadratic equation. This equation has two solutions.

f. (x + 8)(x - 8) = 0

This is a quadratic equation. This equation has two solutions.

Learn more about equations here: https://brainly.com/question/14584746

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