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!
(2) √x+3.5 = 1.5(2) 2
√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.
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
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.