Solve g^4-25 - ScanMath

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Example problems

Type your math problem... g^4-25

Question

Factor the expression

(g^{2} - 5) (g^{2} + 5)

Evaluate

g^{4} - 25

Rewrite the expression in exponential form

(g^{2})^{2} - 5^{2}

Solution

(g^{2} - 5) (g^{2} + 5)

Show Solution

g_{1} = - 5, g_{2} = 5

Alternative Form

g_{1} \approx - 2.236068, g_{2} \approx 2.236068

Evaluate

g^{4} - 25

To find the roots of the expression,set the expression equal to 0

g^{4} - 25 = 0

Move the constant to the right-hand side and change its sign

g^{4} = 0 + 25

Removing 0 doesn't change the value,so remove it from the expression

g^{4} = 25

Take the root of both sides of the equation and remember to use both positive and negative roots

g = \pm 425

Simplify the expression

More Steps

Evaluate

425

Write the number in exponential form with the base of 5

4 5^{2}

Reduce the index of the radical and exponent with 2

5

g = \pm 5

Separate the equation into 2 possible cases

g = 5 g = - 5

Solution

g_{1} = - 5, g_{2} = 5

Alternative Form

g_{1} \approx - 2.236068, g_{2} \approx 2.236068

Show Solution

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