Solve x^199 10x-5

Question

Simplify the expression

9910 x^{2} - 5

Evaluate

x \times 9910 x - 5

Solution

More Steps

Evaluate

x \times 9910 x

Multiply the terms

x^{2} \times 9910

Use the commutative property to reorder the terms

9910 x^{2}

9910 x^{2} - 5

Show Solution

5 (1982 x^{2} - 1)

Evaluate

x \times 9910 x - 5

Multiply

More Steps

Evaluate

x \times 9910 x

Multiply the terms

x^{2} \times 9910

Use the commutative property to reorder the terms

9910 x^{2}

9910 x^{2} - 5

Solution

5 (1982 x^{2} - 1)

Show Solution

x_{1} = - \frac{1982}{1982}, x_{2} = \frac{1982}{1982}

Alternative Form

x_{1} \approx - 0.022462, x_{2} \approx 0.022462

Evaluate

x^{1} \times 9910 x - 5

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

x^{1} \times 9910 x - 5 = 0

Evaluate the power

x \times 9910 x - 5 = 0

Multiply

More Steps

Multiply the terms

x \times 9910 x

Multiply the terms

x^{2} \times 9910

Use the commutative property to reorder the terms

9910 x^{2}

9910 x^{2} - 5 = 0

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

9910 x^{2} = 0 + 5

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

9910 x^{2} = 5

Divide both sides

\frac{9910 x ^{2}}{9910} = \frac{5}{9910}

Divide the numbers

x^{2} = \frac{5}{9910}

Cancel out the common factor 5

x^{2} = \frac{1}{1982}

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

x = \pm \frac{1}{1982}

Simplify the expression

More Steps

Evaluate

\frac{1}{1982}

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

\frac{1}{1982}

Simplify the radical expression

\frac{1}{1982}

Multiply by the Conjugate

\frac{1982}{1982 \times 1982}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{1982}{1982}

x = \pm \frac{1982}{1982}

Separate the equation into 2 possible cases

x = \frac{1982}{1982} x = - \frac{1982}{1982}

Solution

x_{1} = - \frac{1982}{1982}, x_{2} = \frac{1982}{1982}

Alternative Form

x_{1} \approx - 0.022462, x_{2} \approx 0.022462

Show Solution