Solving radicals 2

Solving radicals 2
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  • Examining Girl #2 work
  • Here look at where you messed up in your work. It seems that you messed up in the first step. You should of cross multiplied first.
  • √x+3.5  = 1.5 2
  • √x+3.5^2= 1.5^2 2 (2) x+3.5= 2.25(2) 2 x + 3.5 = 4.50 - 3.5   -3.5   x = 1 
  • Here is me "cross multiplying" because I want to get rid of the 2 in the equation. And make sure you multiply both sides too!
  • Step One:
  •     (2) √x+3.5  = 1.5(2) 2
  • Step Two:
  • √x+3.5= 3 √x+3.5^2 = 3^2 x+3.5 = 9
  • √x+3.5= 1.5 2
  • When solving radicals in this scenario you should want to get rid of two in the denominator. You can do so by cross multiplying. 
  • 1:30
  • Step Three The Final step
  • x + 3.5 = 9        -3.5   -3.5 x  =   5.5 
  • But how do you know it's 5.5?
  • Girl #1 starts to break down and solve the problem in 3 steps! She does step one....making sure she does the same thing on both sides.
  • 1:35 end of math period.
  • x = 5.5
  •  √5.5+3.5= 1.5 2  √9 = 1.5 2            3     = 1.5 2       1.5 = 1.5
  • Wow!  I get it now
  • No problemo, what kind of friend would I be if I didn't help you?
  • Now Girl #1 shows Girl #2 her work for step 2 as she squares everything to get rid of the radical. Leaving her with a basic equation of x + 3.5 = 9 
  • 2:45
  • Thanks for your help today in class Girl #1 that was actually really easy when you broke it down for me and explained step by step
  • After solving for x and getting 5.5 Girl #2 questions how does Girl #1 know that she is correct?
  • Girl #1 then tells her that when it comes to problems like these where you solve for x and there is a number on the left side then you can solve. after solving if you have the same number on both sides then you have done you the problem correctly!
  • Simply checking your work by putting the value of x back into the equation can allow you to check your work.
  • The End.
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