Solve x^4-4x^2-10x^3-40x^21x^2-84

Question

Simplify the expression

- 39 x^{4} - 4 x^{2} - 10 x^{3} - 84

Evaluate

x^{4} - 4 x^{2} - 10 x^{3} - 40 x^{2} \times 1 \times x^{2} - 84

Multiply the terms

More Steps

Multiply the terms

- 40 x^{2} \times 1 \times x^{2}

Rewrite the expression

- 40 x^{2} \times x^{2}

Multiply the terms with the same base by adding their exponents

- 40 x^{2 + 2}

Add the numbers

- 40 x^{4}

x^{4} - 4 x^{2} - 10 x^{3} - 40 x^{4} - 84

Solution

More Steps

Evaluate

x^{4} - 40 x^{4}

Collect like terms by calculating the sum or difference of their coefficients

(1 - 40) x^{4}

Subtract the numbers

- 39 x^{4}

- 39 x^{4} - 4 x^{2} - 10 x^{3} - 84

Show Solution

x \in / R

Evaluate

x^{4} - 4 x^{2} - 10 x^{3} - 40 x^{2} \times 1 \times x^{2} - 84

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

x^{4} - 4 x^{2} - 10 x^{3} - 40 x^{2} \times 1 \times x^{2} - 84 = 0

Multiply the terms

More Steps

Multiply the terms

40 x^{2} \times 1 \times x^{2}

Rewrite the expression

40 x^{2} \times x^{2}

Multiply the terms with the same base by adding their exponents

40 x^{2 + 2}

Add the numbers

40 x^{4}

x^{4} - 4 x^{2} - 10 x^{3} - 40 x^{4} - 84 = 0

Subtract the terms

More Steps

Simplify

x^{4} - 4 x^{2} - 10 x^{3} - 40 x^{4}

Subtract the terms

More Steps

Evaluate

x^{4} - 40 x^{4}

Collect like terms by calculating the sum or difference of their coefficients

(1 - 40) x^{4}

Subtract the numbers

- 39 x^{4}

- 39 x^{4} - 4 x^{2} - 10 x^{3}

- 39 x^{4} - 4 x^{2} - 10 x^{3} - 84 = 0

Factor the expression

- (39 x^{4} + 4 x^{2} + 10 x^{3} + 84) = 0

Divide both sides

39 x^{4} + 4 x^{2} + 10 x^{3} + 84 = 0

Solution

x \in / R

Show Solution