us to solve the equation 3sqrt(4x-3) - sqrt(5x+1) = 3 where x is an integer.

May 20, 2026Mathematics

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May 20, 2026

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3 $where$ x$ is an integer.

Fresh day BILIJITIN, let's solve.

The problem asks us to solve the equation $3\sqrt{4x-3} - \sqrt{5x+1} = 3$ where $x$ is an integer.

Step 1: Determine the domain of the variables. For the square roots to be defined, the expressions under them must be non-negative: $4x-3 \ge 0 \implies 4x \ge 3 \implies x \ge \frac{3}{4}$ $5x+1 \ge 0 \implies 5x \ge -1 \implies x \ge -\frac{1}{5}$ Combining these, we must have $x \ge \frac{3

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Fresh day BILIJITIN, let's solve. The problem asks us to solve the equation 3sqrt(4x-3) - sqrt(5x+1) = 3 where x is an integer.

Asked on May 20, 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 20, 2026

Fresh day BILIJITIN, let's solve. The problem asks us to solve the equation 3sqrt(4x-3) - sqrt(5x+1) = 3 where x is an integer. Step 1: Determine the domain of the variables. For the square roots to be defined, the expressions under them must be non-negative: 4x-3 0 4x 3 x (3)/(4) 5x+1 0 5x -1 x -(1)/(5) Combining these, we must have $x 3