SOLUTION: please help. I am trying to teach this to my daughter,but I need step by step instructions in order to do so .Thanks solve for the unknown 1.5 = sqrt a + 2 (the 2 is not inside t

Algebra ->  Graphs -> SOLUTION: please help. I am trying to teach this to my daughter,but I need step by step instructions in order to do so .Thanks solve for the unknown 1.5 = sqrt a + 2 (the 2 is not inside t      Log On


   

Question 207795: please help. I am trying to teach this to my daughter,but I need step by step instructions in order to do so .Thanks
solve for the unknown
1.5 = sqrt a + 2 (the 2 is not inside the sqrt symbol)
2.33 + 4 sqrt a = 6 sqrt a - 7 (7 is not inside the sqrt symbol)
thanks for the help. I really appreciate it.
Found 2 solutions by jim_thompson5910, vleith:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5=sqrt%28a%29%2B2 Start with the given equation.


5-2=sqrt%28a%29 Subtract 2 from both sides.


3=sqrt%28a%29 Combine like terms.


3%5E2=a Square both sides.


9=a Square 3 to get 9


a=9 Rearrange the equation.


So the solution is a=9




# 2


33%2B4%2Asqrt%28a%29=6%2Asqrt%28a%29-7 Start with the given equation.


4%2Asqrt%28a%29=6%2Asqrt%28a%29-7-33 Subtract 33 from both sides.


4%2Asqrt%28a%29-6%2Asqrt%28a%29=-7-33 Subtract 6%2Asqrt%28a%29 from both sides.


-2%2Asqrt%28a%29=-7-33 Combine like terms on the left side.


-2%2Asqrt%28a%29=-40 Combine like terms on the right side.


sqrt%28a%29=%28-40%29%2F%28-2%29 Divide both sides by -2 to isolate sqrt%28a%29.


sqrt%28a%29=20 Reduce.


a=%2820%29%5E2 Square both sides.


a=400 Square 20 to get 400.


So the solution is a=400

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
1)
5+=+sqrt%28a%29+%2B+2
5-2+=+sqrt%28a%29
3+=+sqrt%28a%29
3%5E2+=+%28sqrt%28a%29%29%5E2
9+=+a
2)
33+%2B+4%2Asqrt%28a%29+=+6%2Asqrt%28a%29+-+7
33%2B7+=++6%2Asqrt%28a%29+-++4%2Asqrt%28a%29
40+=+2%2Asqrt%28a%29
40%2F2+=+sqrt%28a%29
20+=+sqrt%28a%29
20%5E2+=++%28sqrt%28a%29%29%5E2
400+=+a
check your answers