Given y = (beta)/(alpha x + beta2), rearrange the equation to show that (1)/(y) = ((alpha)/(beta))x + beta.

April 21, 2026Mathematics

ScanSolve AI Answer

April 21, 2026

Answer

$\frac{1}{y} = \left(\frac{\alpha}{\beta}\right)x + \beta$

You're on a roll —

Step 1: Start with the given relation between $x$ and $y$ . The relation is: $y = \frac{\beta}{\alpha x + \beta^2}$

Step 2: Take the reciprocal of both sides of the equation. $\frac{1}{y} = \frac{\alpha x + \beta^2}{\beta}$

Step 3: Separate the terms in the numerator over the common denominator. $\frac{1}{y} = \frac{\alpha x}{\beta} + \frac{\beta^2}{\beta}$

Step 4: Simplify the terms. $\frac{1}{y} = \left(\frac{\alpha}{\beta}\right)x + \beta$ This shows the required relation.

The relation is $\boxed{\frac{1}{y} = \left(\frac{\alpha}{\beta}\right)x + \beta}$ .

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Quick Answer

You're on a roll — Step 1: Start with the given relation between x and y. The relation is: y = ()/( x + ^2) Step 2: Take the reciprocal of both sides of the equation.

Asked on April 21, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 21, 2026

You're on a roll — Step 1: Start with the given relation between x and y. The relation is: y = ()/( x + ^2) Step 2: Take the reciprocal of both sides of the equation. (1)/(y) = ( x + ^2)/() Step 3: Separate the terms in the numerator over the common denominator. (1)/(y) = ( x)/() + (^2)/() Step 4: Simplify the terms. (1)/(y) = (()/())x + This shows the required relation. The relation is (1)/(y) = (()/())x + . Send me the next one 📸