How to solve (2(x)^(2))/(23x)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (2(x)^(2))/(23x) | Equatix

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Question

$$\frac{ 2 { x }^{ 2 } }{ 23x }$$

Evaluate

$\frac{2x}{23}$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{2^{1}x^{2}}{23^{1}x^{1}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{2^{1}x^{2-1}}{23^{1}}$$

Subtract $1$ from $2$.

$$\frac{2^{1}x^{1}}{23^{1}}$$

Divide $2$ by $23$.

$$\frac{2}{23}x^{1}$$

For any term $t$, $t^{1}=t$.

$$\frac{2}{23}x$$

Show Solution

Differentiate w.r.t. x

$\frac{2}{23} = 0.08695652173913043$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2}{23}x^{2-1})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2}{23}x^{1})$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is $0$. The derivative of $ax^{n}$ is $nax^{n-1}$.

$$\frac{2}{23}x^{1-1}$$