Solve x^2 -2x^3-x----\sqrt =3-x----\sqrt 8

Question

Simplify the expression

x^{2} - 2 x^{3} - 2 x + 3 + 22

Evaluate

x^{2} - 2 x^{3} - x + 3 - x + 8

Simplify the root

More Steps

Evaluate

8

Write the expression as a product where the root of one of the factors can be evaluated

4 \times 2

Write the number in exponential form with the base of 2

2^{2} \times 2

The root of a product is equal to the product of the roots of each factor

2^{2} \times 2

Reduce the index of the radical and exponent with 2

22

x^{2} - 2 x^{3} - x + 3 - x + 22

Solution

More Steps

Evaluate

- x - x

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

(- 1 - 1) x

Subtract the numbers

- 2 x

x^{2} - 2 x^{3} - 2 x + 3 + 22

Show Solution

x \approx 1.217307

Evaluate

x^{2} - 2 x^{3} - x + 3 - x + 8

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

x^{2} - 2 x^{3} - x + 3 - x + 8 = 0

Simplify the root

More Steps

Evaluate

8

Write the expression as a product where the root of one of the factors can be evaluated

4 \times 2

Write the number in exponential form with the base of 2

2^{2} \times 2

The root of a product is equal to the product of the roots of each factor

2^{2} \times 2

Reduce the index of the radical and exponent with 2

22

x^{2} - 2 x^{3} - x + 3 - x + 22 = 0

Subtract the terms

More Steps

Simplify

x^{2} - 2 x^{3} - x + 3 - x

Subtract the terms

More Steps

Evaluate

- x - x

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

(- 1 - 1) x

Subtract the numbers

- 2 x

x^{2} - 2 x^{3} - 2 x + 3

x^{2} - 2 x^{3} - 2 x + 3 + 22 = 0

Solution

x \approx 1.217307

Show Solution