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Solve the equation sqrt(4x−3) + sqrt(5x+1) = 2

May 20, 2026Mathematics

ScanSolve AI Answer

Step-by-step solution

2 steps

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 conditions, we must have $x \ge \frac{3}{4}$ . Since $x$ is specified as an integer, $x$ must be $1, 2, 3, \dots$ .
Isolate one of the radical terms.
Move the second radical term to the right side of the equation

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