Solve 1c^495-927-10-1

Question

Simplify the expression

95 c^{4} - 938

Evaluate

1 \times c^{4} \times 95 - 927 - 10 - 1

Multiply the terms

More Steps

Multiply the terms

1 \times c^{4} \times 95

Rewrite the expression

c^{4} \times 95

Use the commutative property to reorder the terms

95 c^{4}

95 c^{4} - 927 - 10 - 1

Solution

95 c^{4} - 938

Show Solution

c_{1} = - \frac{4 938 \times 9 5 ^{3}}{95}, c_{2} = \frac{4 938 \times 9 5 ^{3}}{95}

Alternative Form

c_{1} \approx - 1.772637, c_{2} \approx 1.772637

Evaluate

1 \times c^{4} \times 95 - 927 - 10 - 1

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

1 \times c^{4} \times 95 - 927 - 10 - 1 = 0

Multiply the terms

More Steps

Multiply the terms

1 \times c^{4} \times 95

Rewrite the expression

c^{4} \times 95

Use the commutative property to reorder the terms

95 c^{4}

95 c^{4} - 927 - 10 - 1 = 0

Subtract the numbers

95 c^{4} - 937 - 1 = 0

Subtract the numbers

95 c^{4} - 938 = 0

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

95 c^{4} = 0 + 938

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

95 c^{4} = 938

Divide both sides

\frac{95 c ^{4}}{95} = \frac{938}{95}

Divide the numbers

c^{4} = \frac{938}{95}

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

c = \pm 4 \frac{938}{95}

Simplify the expression

More Steps

Evaluate

4 \frac{938}{95}

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

\frac{4 938}{4 95}

Multiply by the Conjugate

\frac{4 938 \times 4 9 5 ^{3}}{4 95 \times 4 9 5 ^{3}}

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

\frac{4 938 \times 9 5 ^{3}}{4 95 \times 4 9 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

495 \times 4 9 5^{3}

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

4 95 \times 9 5^{3}

Calculate the product

4 9 5^{4}

Reduce the index of the radical and exponent with 4

95

\frac{4 938 \times 9 5 ^{3}}{95}

c = \pm \frac{4 938 \times 9 5 ^{3}}{95}

Separate the equation into 2 possible cases

c = \frac{4 938 \times 9 5 ^{3}}{95} c = - \frac{4 938 \times 9 5 ^{3}}{95}

Solution

c_{1} = - \frac{4 938 \times 9 5 ^{3}}{95}, c_{2} = \frac{4 938 \times 9 5 ^{3}}{95}

Alternative Form

c_{1} \approx - 1.772637, c_{2} \approx 1.772637

Show Solution