Math Problem Statement

Solve the equation: 3√x = 7 - 4√[28]{x^3}.

Solution

The equation shown in the image is:

3x=74x3283 \sqrt{x} = 7 - 4 \sqrt[28]{x^3}

Let's solve this step by step.

Step 1: Isolate the radical expressions

Start by keeping the radical terms on opposite sides of the equation: 3x=74x3283 \sqrt{x} = 7 - 4 \sqrt[28]{x^3}

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Math Problem Analysis

Mathematical Concepts

Algebra
Radicals
Exponents

Formulas

Radical equation solving
Exponent rules

Theorems

Properties of radicals
Exponentiation

Suitable Grade Level

Grades 10-12