Solve 2 ilepath3x+1 + 3 ilepath4x+5 = 23 for x.

May 20, 2026Mathematics

ScanSolve AI Answer

May 20, 2026

Answer

23$.

Here are the solutions to your questions.

1. a) Solve $2\sqrt{3x+1} + 3\sqrt{4x+5} = 23$ . Step 1: Test for an integer solution. Let's try $x=5$ . $2\sqrt{3(5)+1} + 3\sqrt{4(5)+5} = 2\sqrt{15+1} + 3\sqrt{20+5}$ $= 2\sqrt{16} + 3\sqrt{25}$ $= 2(4) + 3(5)$ $= 8 + 15$ $= 23$ Since substituting $x=5$ satisfies the equation, $x=5$ is a solution. The function $f(x) = 2\sqrt{3x+1} + 3\sqrt{4x+5}$ is a strictly increasing

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Quick Answer

Test for an integer solution. Let's try x=5.

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

Here are the solutions to your questions. 1. a) Solve 2sqrt(3x+1) + 3sqrt(4x+5) = 23. Step 1: Test for an integer solution. Let's try x=5. 2sqrt(3(5)+1) + 3sqrt(4(5)+5) = 2sqrt(15+1) + 3sqrt(20+5) = 2sqrt(16) + 3sqrt(25) = 2(4) + 3(5) = 8 + 15 = 23 Since substituting x=5 satisfies the equation, x=5 is a solution. The function f(x) = 2sqrt(3x+1) + 3sqrt(4x+5) is a strictly increasing