Solve 800x7-x^4 - ScanMath

Question

Simplify the expression

5600 x - x^{4}

Evaluate

800 x \times 7 - x^{4}

Solution

5600 x - x^{4}

Show Solution

x (5600 - x^{3})

Evaluate

800 x \times 7 - x^{4}

Multiply the terms

5600 x - x^{4}

Rewrite the expression

x \times 5600 - x \times x^{3}

Solution

x (5600 - x^{3})

Show Solution

x_{1} = 0, x_{2} = 23700

Alternative Form

x_{1} = 0, x_{2} \approx 17.75808

Evaluate

800 x \times 7 - x^{4}

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

800 x \times 7 - x^{4} = 0

Multiply the terms

5600 x - x^{4} = 0

Factor the expression

x (5600 - x^{3}) = 0

Separate the equation into 2 possible cases

x = 0 5600 - x^{3} = 0

Solve the equation

More Steps

Evaluate

5600 - x^{3} = 0

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

- x^{3} = 0 - 5600

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

- x^{3} = - 5600

Change the signs on both sides of the equation

x^{3} = 5600

Take the 3 -th root on both sides of the equation

3 x^{3} = 35600

Calculate

x = 35600

Simplify the root

More Steps

Evaluate

35600

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

3 8 \times 700

Write the number in exponential form with the base of 2

3 2^{3} \times 700

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

3 2^{3} \times 3700

Reduce the index of the radical and exponent with 3

23700

x = 23700

x = 0 x = 23700

Solution

x_{1} = 0, x_{2} = 23700

Alternative Form

x_{1} = 0, x_{2} \approx 17.75808

Show Solution