Question

Use CER to answer the questions.

Claim: answers
Evidence: show your work
Reasoning: explain your answer and why you answered way.
Part 1 - Explain/Show how to solve √3x +9-6=4.
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Part 2- Explain why √3x +9+ 6 = -4 has no real solution.

Answer 1

To solve the given equation, isolate the variable x by following the steps of algebraic manipulation. The equation √3x + 9 + 6 = -4 does not have a real solution because the square root of a real number cannot be negative and the equation contradicts this rule.

Step-by-step explanation:

To solve the equation √3x + 9 - 6 = 4, we need to isolate the variable 'x'.

1. First, subtract 9 from both sides to get √3x - 6 = -5.
2. Next, add 6 to both sides to get √3x = 1.
3. Square both sides of the equation to eliminate the square root: (√3x)² = 1², which simplifies to 3x = 1.
4. Finally, divide both sides by 3 to solve for x, giving us x = 1/3.

Therefore, the solution to the equation is x = 1/3.

For the equation √3x + 9 + 6 = -4, there is no real solution. This is because the square root of a real number cannot be negative, so the left side of the equation will always be non-negative, while the right side is -4. Hence, there are no values of x that satisfy this equation.

Learn more about Solving equations involving square roots