Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

What is the solution of ? x = 2 x = 3 x = 2 or x = 3 no solution.

Sagot :

abidemiokin

The solution to  the given equation is x = 2 and x = 3

Given the equation;

  • [tex]x = 2 +\sqrt{x-2}[/tex]

Subtract 2 from both sides;

[tex]x = 2 +\sqrt{x-2}\\x - 2= 2 - 2+\sqrt{x-2}\\x - 2 = \sqrt{x-2}\\[/tex]

Take the square of both sides:

[tex](x-2)^2 =(\sqrt{x-2} )^2\\(x-2)^2 = x-2\\(x-2)^2 - x+2 = 0\\(x-2)^2-1(x-2) = 0\\x-2[x-2-1] = 0\\(x-2)(x-3) =0\\x = 2 \ or \ 3[/tex]

Hence the solution to  the given equation is x = 2 and x = 3

Learn more on rational equations here: https://brainly.com/question/4419050

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.