Solve x^32x-10 - ScanMath

Question

Simplify the expression

2 x^{4} - 10

Evaluate

x^{3} \times 2 x - 10

Solution

More Steps

Evaluate

x^{3} \times 2 x

Multiply the terms with the same base by adding their exponents

x^{3 + 1} \times 2

Add the numbers

x^{4} \times 2

Use the commutative property to reorder the terms

2 x^{4}

2 x^{4} - 10

Show Solution

2 (x^{4} - 5)

Evaluate

x^{3} \times 2 x - 10

Multiply

More Steps

Evaluate

x^{3} \times 2 x

Multiply the terms with the same base by adding their exponents

x^{3 + 1} \times 2

Add the numbers

x^{4} \times 2

Use the commutative property to reorder the terms

2 x^{4}

2 x^{4} - 10

Solution

2 (x^{4} - 5)

Show Solution

x_{1} = - 45, x_{2} = 45

Alternative Form

x_{1} \approx - 1.495349, x_{2} \approx 1.495349

Evaluate

x^{3} \times 2 x - 10

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

x^{3} \times 2 x - 10 = 0

Multiply

More Steps

Multiply the terms

x^{3} \times 2 x

Multiply the terms with the same base by adding their exponents

x^{3 + 1} \times 2

Add the numbers

x^{4} \times 2

Use the commutative property to reorder the terms

2 x^{4}

2 x^{4} - 10 = 0

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

2 x^{4} = 0 + 10

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

2 x^{4} = 10

Divide both sides

\frac{2 x ^{4}}{2} = \frac{10}{2}

Divide the numbers

x^{4} = \frac{10}{2}

Divide the numbers

More Steps

Evaluate

\frac{10}{2}

Reduce the numbers

\frac{5}{1}

Calculate

5

x^{4} = 5

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

x = \pm 45

Separate the equation into 2 possible cases

x = 45 x = - 45

Solution

x_{1} = - 45, x_{2} = 45

Alternative Form

x_{1} \approx - 1.495349, x_{2} \approx 1.495349

Show Solution