Solve 56-3a^401 - ScanMath

Question

Simplify the expression

56 - 3 a^{4}

Evaluate

56 - 3 a^{4} \times 1

Solution

56 - 3 a^{4}

Show Solution

a_{1} = - \frac{4 1512}{3}, a_{2} = \frac{4 1512}{3}

Alternative Form

a_{1} \approx - 2.07858, a_{2} \approx 2.07858

Evaluate

56 - 3 a^{4} \times 1

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

56 - 3 a^{4} \times 1 = 0

Multiply the terms

56 - 3 a^{4} = 0

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

- 3 a^{4} = 0 - 56

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

- 3 a^{4} = - 56

Change the signs on both sides of the equation

3 a^{4} = 56

Divide both sides

\frac{3 a ^{4}}{3} = \frac{56}{3}

Divide the numbers

a^{4} = \frac{56}{3}

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

a = \pm 4 \frac{56}{3}

Simplify the expression

More Steps

Evaluate

4 \frac{56}{3}

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

\frac{4 56}{4 3}

Multiply by the Conjugate

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

Simplify

\frac{4 56 \times 4 27}{4 3 \times 4 3 ^{3}}

Multiply the numbers

More Steps

Evaluate

456 \times 427

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

4 56 \times 27

Calculate the product

41512

\frac{4 1512}{4 3 \times 4 3 ^{3}}

Multiply the numbers

More Steps

Evaluate

43 \times 4 3^{3}

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

4 3 \times 3^{3}

Calculate the product

4 3^{4}

Reduce the index of the radical and exponent with 4

3

\frac{4 1512}{3}

a = \pm \frac{4 1512}{3}

Separate the equation into 2 possible cases

a = \frac{4 1512}{3} a = - \frac{4 1512}{3}

Solution

a_{1} = - \frac{4 1512}{3}, a_{2} = \frac{4 1512}{3}

Alternative Form

a_{1} \approx - 2.07858, a_{2} \approx 2.07858

Show Solution