Solve 56-3a^40391

Question

Simplify the expression

56 - 1173 a^{4}

Evaluate

56 - 3 a^{4} \times 391

Solution

56 - 1173 a^{4}

Show Solution

a_{1} = - \frac{4 56 \times 117 3 ^{3}}{1173}, a_{2} = \frac{4 56 \times 117 3 ^{3}}{1173}

Alternative Form

a_{1} \approx - 0.467436, a_{2} \approx 0.467436

Evaluate

56 - 3 a^{4} \times 391

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

56 - 3 a^{4} \times 391 = 0

Multiply the terms

56 - 1173 a^{4} = 0

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

- 1173 a^{4} = 0 - 56

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

- 1173 a^{4} = - 56

Change the signs on both sides of the equation

1173 a^{4} = 56

Divide both sides

\frac{1173 a ^{4}}{1173} = \frac{56}{1173}

Divide the numbers

a^{4} = \frac{56}{1173}

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

a = \pm 4 \frac{56}{1173}

Simplify the expression

More Steps

Evaluate

4 \frac{56}{1173}

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

\frac{4 56}{4 1173}

Multiply by the Conjugate

\frac{4 56 \times 4 117 3 ^{3}}{4 1173 \times 4 117 3 ^{3}}

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

\frac{4 56 \times 117 3 ^{3}}{4 1173 \times 4 117 3 ^{3}}

Multiply the numbers

More Steps

Evaluate

41173 \times 4 117 3^{3}

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

4 1173 \times 117 3^{3}

Calculate the product

4 117 3^{4}

Reduce the index of the radical and exponent with 4

1173

\frac{4 56 \times 117 3 ^{3}}{1173}

a = \pm \frac{4 56 \times 117 3 ^{3}}{1173}

Separate the equation into 2 possible cases

a = \frac{4 56 \times 117 3 ^{3}}{1173} a = - \frac{4 56 \times 117 3 ^{3}}{1173}

Solution

a_{1} = - \frac{4 56 \times 117 3 ^{3}}{1173}, a_{2} = \frac{4 56 \times 117 3 ^{3}}{1173}

Alternative Form

a_{1} \approx - 0.467436, a_{2} \approx 0.467436

Show Solution