For x greater than 0, the solution of the radical equation √(x³ + x²) - √(4 + 4 · x) = 0 is x = 2.
What is the solution of the radical equation?
Herein we have a radical equation, which must be solved by algebraic handling, especially by the use of power and root properties:
√(x³ + x²) - √(4 + 4 · x) = 0 Given
√(x³ + x²) = √(4 + 4 · x) Compatibility with addition / Existence of additive inverse / Modulative property
x · √(1 + x) = 2 · √(1 + x) Power and root properties
x = 2 Compatibility with multiplication / Existence of multiplicative inverse / Modulative property
For x greater than 0, the solution of the radical equation √(x³ + x²) - √(4 + 4 · x) = 0 is x = 2.
Remark
The statement presents typing mistakes and mathematical expression is incomplete. Correct form is shown below:
Solve if x > 0 and √(x³ + x²) - √(4 + 4 · x) = 0.
To learn more radical equations: https://brainly.com/question/8606917
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