Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Solve the equation [tex]\sqrt{x+3} +4 = 5[/tex] Show each step of your solution process.

Sagot :

Answer:

-2

Step-by-step explanation:

We start off by subtracting 4 on both sides giving us:

sqrt(x+3) = 5-4 = 1

So,

sqrt(x+3) = 1, and squaring both sides we get x+3 = 1

Therefore,

x = -2

Answer:

x = -2 & -4

Step-by-step explanation:

√(x + 3) + 4 = 5

√(x + 3) = 5 - 4

√(x + 3) = 1

[√(x + 3)]² = (1)²

x² + 9 + 6x = 1

x² + 9 - 1 + 6x = 0

x² + 8 + 6x = 0

x² + 6x + 8 = 0

x² + (4x + 2x) + 8 = 0

x² + 4x + 2x + 8 = 0

x(x + 4) + 2(x + 4) = 0

(x + 4)(x + 2) = 0

x = -2 & -4

Hence,

Value of x is -2 & -4

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.