Solve the Radical Equation $5 \sqrt { x } = x + 4$

question 31

Multiple Choice

Solve the radical equation. Don t forget, you must check potential solutions. $5 \sqrt { x } = x + 4$

• A) x = 16
• B) x = 1
• C) x = 1 or x = 16
• D) x = \(-\) 1 or x = 16

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Definitions:

Perfect Square Trinomial

A trinomial that can be factored into a binomial squared, typically in the form \(a^2 + 2ab + b^2\) or \(a^2 - 2ab + b^2\).

Trinomial

A polynomial with three terms, typically written as ax^2 + bx + c.

Perfect Square Trinomial

A trinomial expression that is the square of a binomial, taking the form \(a^2 + 2ab + b^2\).

Polynomial

A mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.