Solve 10g^45-120 - ScanMath

Question

Simplify the expression

Solution

50 g^{4} - 120

Evaluate

10 g^{4} \times 5 - 120

Solution

50 g^{4} - 120

Show Solution

Factor the expression

Factor

10 (5 g^{4} - 12)

Evaluate

10 g^{4} \times 5 - 120

Multiply the terms

50 g^{4} - 120

Solution

10 (5 g^{4} - 12)

Show Solution

Find the roots

Find the roots of the algebra expression

g_{1} = - \frac{4 1500}{5}, g_{2} = \frac{4 1500}{5}

Alternative Form

g_{1} \approx - 1.244666, g_{2} \approx 1.244666

Evaluate

10 g^{4} \times 5 - 120

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

10 g^{4} \times 5 - 120 = 0

Multiply the terms

50 g^{4} - 120 = 0

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

50 g^{4} = 0 + 120

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

50 g^{4} = 120

Divide both sides

\frac{50 g ^{4}}{50} = \frac{120}{50}

Divide the numbers

g^{4} = \frac{120}{50}

Cancel out the common factor 10

g^{4} = \frac{12}{5}

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

g = \pm 4 \frac{12}{5}

Simplify the expression

More Steps

Evaluate

4 \frac{12}{5}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{4 12}{4 5}

Multiply by the Conjugate

\frac{4 12 \times 4 5 ^{3}}{4 5 \times 4 5 ^{3}}

Simplify

\frac{4 12 \times 4 125}{4 5 \times 4 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

412 \times 4125

The product of roots with the same index is equal to the root of the product

4 12 \times 125

Calculate the product

41500

\frac{4 1500}{4 5 \times 4 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

45 \times 4 5^{3}

The product of roots with the same index is equal to the root of the product

4 5 \times 5^{3}

Calculate the product

4 5^{4}

Reduce the index of the radical and exponent with 4

5

\frac{4 1500}{5}

g = \pm \frac{4 1500}{5}

Separate the equation into 2 possible cases

g = \frac{4 1500}{5} g = - \frac{4 1500}{5}

Solution

g_{1} = - \frac{4 1500}{5}, g_{2} = \frac{4 1500}{5}

Alternative Form

g_{1} \approx - 1.244666, g_{2} \approx 1.244666

Show Solution

10g^45 120

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression