Solve 100 -140x^49x^2

Question

Simplify the expression

100 - 1260 x^{6}

Evaluate

100 - 140 x^{4} \times 9 x^{2}

Solution

More Steps

Evaluate

140 x^{4} \times 9 x^{2}

Multiply the terms

1260 x^{4} \times x^{2}

Multiply the terms with the same base by adding their exponents

1260 x^{4 + 2}

Add the numbers

1260 x^{6}

100 - 1260 x^{6}

Show Solution

Factor the expression

20 (5 - 63 x^{6})

Evaluate

100 - 140 x^{4} \times 9 x^{2}

Multiply

More Steps

Evaluate

140 x^{4} \times 9 x^{2}

Multiply the terms

1260 x^{4} \times x^{2}

Multiply the terms with the same base by adding their exponents

1260 x^{4 + 2}

Add the numbers

1260 x^{6}

100 - 1260 x^{6}

Solution

20 (5 - 63 x^{6})

Show Solution

Find the roots

x_{1} = - \frac{6 5 \times 6 3 ^{5}}{63}, x_{2} = \frac{6 5 \times 6 3 ^{5}}{63}

Alternative Form

x_{1} \approx - 0.655549, x_{2} \approx 0.655549

Evaluate

100 - 140 x^{4} \times 9 x^{2}

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

100 - 140 x^{4} \times 9 x^{2} = 0

Multiply

More Steps

Multiply the terms

140 x^{4} \times 9 x^{2}

Multiply the terms

1260 x^{4} \times x^{2}

Multiply the terms with the same base by adding their exponents

1260 x^{4 + 2}

Add the numbers

1260 x^{6}

100 - 1260 x^{6} = 0

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

- 1260 x^{6} = 0 - 100

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

- 1260 x^{6} = - 100

Change the signs on both sides of the equation

1260 x^{6} = 100

Divide both sides

\frac{1260 x ^{6}}{1260} = \frac{100}{1260}

Divide the numbers

x^{6} = \frac{100}{1260}

Cancel out the common factor 20

x^{6} = \frac{5}{63}

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

x = \pm 6 \frac{5}{63}

Simplify the expression

More Steps

Evaluate

6 \frac{5}{63}

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

\frac{6 5}{6 63}

Multiply by the Conjugate

\frac{6 5 \times 6 6 3 ^{5}}{6 63 \times 6 6 3 ^{5}}

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

\frac{6 5 \times 6 3 ^{5}}{6 63 \times 6 6 3 ^{5}}

Multiply the numbers

More Steps

Evaluate

663 \times 6 6 3^{5}

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

6 63 \times 6 3^{5}

Calculate the product

6 6 3^{6}

Reduce the index of the radical and exponent with 6

63

\frac{6 5 \times 6 3 ^{5}}{63}

x = \pm \frac{6 5 \times 6 3 ^{5}}{63}

Separate the equation into 2 possible cases

x = \frac{6 5 \times 6 3 ^{5}}{63} x = - \frac{6 5 \times 6 3 ^{5}}{63}

Solution

x_{1} = - \frac{6 5 \times 6 3 ^{5}}{63}, x_{2} = \frac{6 5 \times 6 3 ^{5}}{63}

Alternative Form

x_{1} \approx - 0.655549, x_{2} \approx 0.655549

Show Solution