How can the equation f = (L2 - d2) / 4L be linearized?

May 7, 2026Mathematics

ScanSolve AI Answer

May 7, 2026

Answer

\frac{L^2 - d^2}{4L}$$

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To linearize the equation $f = \frac{L^2 - d^2}{4L}$ , we need to transform it into the form $Y = mX + C$ , where $Y$ and $X$ are new variables that are functions of $L$ , $d$ , and $f$ , and $m$ and $C$ are constants.

Step 1: Rewrite the given equation. The equation is: $f = \frac{L^2 - d^2}{4L}$

Step 2: Multiply both sides by $4L$ to eliminate the denominator. $4Lf = L^2 - d^2$

Step 3: Rear

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Asked on May 7, 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 May 7, 2026

Welcome back C — been a while! Let's pick up where you left off. To linearize the equation f = (L^2 - d^2)/(4L), we need to transform it into the form Y = mX + C, where Y and X are new variables that are functions of L, d, and f, and m and C are constants. Step 1: Rewrite the given equation. The equation is: f = (L^2 - d^2)/(4L) Step 2: Multiply both sides by 4L to eliminate the denominator. 4Lf = L^2 - d^2 Step 3: Rear