Solve x870x-e - ScanMath

Question

Simplify the expression

870 x^{2} - e

Evaluate

x \times 870 x - e

Solution

More Steps

Evaluate

x \times 870 x

Multiply the terms

x^{2} \times 870

Use the commutative property to reorder the terms

870 x^{2}

870 x^{2} - e

Show Solution

x_{1} = - \frac{870 e}{870}, x_{2} = \frac{870 e}{870}

Alternative Form

x_{1} \approx - 0.055897, x_{2} \approx 0.055897

Evaluate

x \times 870 x - e

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

x \times 870 x - e = 0

Multiply

More Steps

Multiply the terms

x \times 870 x

Multiply the terms

x^{2} \times 870

Use the commutative property to reorder the terms

870 x^{2}

870 x^{2} - e = 0

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

870 x^{2} = 0 + e

Add the terms

870 x^{2} = e

Divide both sides

\frac{870 x ^{2}}{870} = \frac{e}{870}

Divide the numbers

x^{2} = \frac{e}{870}

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

x = \pm \frac{e}{870}

Simplify the expression

More Steps

Evaluate

\frac{e}{870}

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

\frac{e}{870}

Multiply by the Conjugate

\frac{e \times 870}{870 \times 870}

Multiply the numbers

More Steps

Evaluate

e \times 870

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

e \times 870

Calculate the product

870 e

\frac{870 e}{870 \times 870}

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

\frac{870 e}{870}

x = \pm \frac{870 e}{870}

Separate the equation into 2 possible cases

x = \frac{870 e}{870} x = - \frac{870 e}{870}

Solution

x_{1} = - \frac{870 e}{870}, x_{2} = \frac{870 e}{870}

Alternative Form

x_{1} \approx - 0.055897, x_{2} \approx 0.055897

Show Solution