pathoscide
Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

solve x= √x+7 +5
check for extraneous solutions

(pls show work)

Sagot :

Zezima

Answer:

x = 9

Step-by-step explanation:

Let's solve your equation step-by-step.

[tex]x=\sqrt{x+7} +5[/tex]

Step 1: Flip the equation.

[tex]\sqrt{x+7} +5=x[/tex]

Step 2: Add -5 to both sides.

[tex]\sqrt{x+7} +5-5=x-5[/tex]

Step 3: Solve Square Root.

[tex]\sqrt{x+7} =x-5[/tex]

[tex]{x+7} =(x-5)^2[/tex] (Square both sides)

[tex]x+7=x^2-10x+25[/tex]

[tex]-x^2+11x-18=0[/tex]

[tex](-x+2)(x-9)=0[/tex] (Factor left side of equation)

[tex]-x+2=0[/tex]   or  [tex]x-9=0[/tex] (Set factors equal to 0)

x = 2 or x = 9

x = 2 (Doesn't work on the original equation)

x = 9 (Works in the original equation)

Answer:

x = 9

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.