Solve 2-2x^5+7 - ScanMath

Question

Simplify the expression

9 - 2 x^{5}

Evaluate

2 - 2 x^{5} + 7

Solution

9 - 2 x^{5}

Show Solution

x = \frac{5 144}{2}

Alternative Form

x \approx 1.35096

Evaluate

2 - 2 x^{5} + 7

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

2 - 2 x^{5} + 7 = 0

Add the numbers

9 - 2 x^{5} = 0

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

- 2 x^{5} = 0 - 9

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

- 2 x^{5} = - 9

Change the signs on both sides of the equation

2 x^{5} = 9

Divide both sides

\frac{2 x ^{5}}{2} = \frac{9}{2}

Divide the numbers

x^{5} = \frac{9}{2}

Take the 5 -th root on both sides of the equation

5 x^{5} = 5 \frac{9}{2}

Calculate

x = 5 \frac{9}{2}

Solution

More Steps

Evaluate

5 \frac{9}{2}

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

\frac{5 9}{5 2}

Multiply by the Conjugate

\frac{5 9 \times 5 2 ^{4}}{5 2 \times 5 2 ^{4}}

Simplify

\frac{5 9 \times 5 16}{5 2 \times 5 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

59 \times 516

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

5 9 \times 16

Calculate the product

5144

\frac{5 144}{5 2 \times 5 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

52 \times 5 2^{4}

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

5 2 \times 2^{4}

Calculate the product

5 2^{5}

Reduce the index of the radical and exponent with 5

2

\frac{5 144}{2}

x = \frac{5 144}{2}

Alternative Form

x \approx 1.35096

Show Solution