Math / Algebra

QuestionWhat two values can $f$ have if $f^{2}=16$ ?

Studdy Solution

STEP 1

1. The equation $f^2 = 16$ is a quadratic equation.
2. We are looking for real number solutions for $f$ .

STEP 2

1. Take the square root of both sides.
2. Consider both the positive and negative roots.
3. State the two possible values for $f$ .

STEP 3

To solve for $f$ , take the square root of both sides of the equation:
$f^2 = 16$
Taking the square root gives:
$f = \pm \sqrt{16}$

STEP 4

Calculate the square root of 16. Since the square root of 16 is 4, consider both the positive and negative roots:
$f = \pm 4$
This means:
$f = 4 \quad \text{or} \quad f = -4$

STEP 5

State the two possible values for $f$ :
The two values that $f$ can have are:
$\boxed{4} \quad \text{and} \quad \boxed{-4}$

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QuestionWhat two values can $f$ have if $f^{2}=16$ ?

Studdy Solution

STEP 1

1. The equation $f^2 = 16$ is a quadratic equation.
2. We are looking for real number solutions for $f$ .

STEP 2

1. Take the square root of both sides.
2. Consider both the positive and negative roots.
3. State the two possible values for $f$ .

STEP 3

To solve for $f$ , take the square root of both sides of the equation:
$f^2 = 16$
Taking the square root gives:
$f = \pm \sqrt{16}$

STEP 4

Calculate the square root of 16. Since the square root of 16 is 4, consider both the positive and negative roots:
$f = \pm 4$
This means:
$f = 4 \quad \text{or} \quad f = -4$

STEP 5

State the two possible values for $f$ :
The two values that $f$ can have are:
$\boxed{4} \quad \text{and} \quad \boxed{-4}$

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QuestionWhat two values can fff have if f2=16f^{2}=16f2=16 ?

Studdy Solution

STEP 1

1. The equation f2=16 f^2 = 16 f2=16 is a quadratic equation.2. We are looking for real number solutions for f f f.

STEP 2

1. Take the square root of both sides.2. Consider both the positive and negative roots.3. State the two possible values for f f f.

STEP 3

To solve for f f f, take the square root of both sides of the equation:f2=16 f^2 = 16 f2=16Taking the square root gives:f=±16 f = \pm \sqrt{16} f=±16​

STEP 4

Calculate the square root of 16. Since the square root of 16 is 4, consider both the positive and negative roots:f=±4 f = \pm 4 f=±4This means:f=4orf=−4 f = 4 \quad \text{or} \quad f = -4 f=4orf=−4

STEP 5

State the two possible values for f f f:The two values that f f f can have are:4and−4 \boxed{4} \quad \text{and} \quad \boxed{-4} 4​and−4​

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QuestionWhat two values can $f$ have if $f^{2}=16$ ?

1. The equation $f^2 = 16$ is a quadratic equation.
2. We are looking for real number solutions for $f$ .

1. Take the square root of both sides.
2. Consider both the positive and negative roots.
3. State the two possible values for $f$ .

To solve for $f$ , take the square root of both sides of the equation:
$f^2 = 16$
Taking the square root gives:
$f = \pm \sqrt{16}$

Calculate the square root of 16. Since the square root of 16 is 4, consider both the positive and negative roots:
$f = \pm 4$
This means:
$f = 4 \quad \text{or} \quad f = -4$

State the two possible values for $f$ :
The two values that $f$ can have are:
$\boxed{4} \quad \text{and} \quad \boxed{-4}$