1. √(m-1) + 5 = m-2
√(m-1) = m - 7
square both sides
m-1 = m^2 - 14m + 49
m^2 - 15m + 50 = 0
(m-5)(m-10) = 0
m = 5 or m = 10
BUT, since we squared the equation, all answers MUST be verified in the original equation.
if m = 5
LS = √(5-1) + 5
= 2 + 5 = 7
RS = 5-2 = 3
LS ≠ RS
if m = 10
LS = √9 + 5 = 8
RS = 10-2 = 8
LS = RS
So m = 10 is the only solution
Use the same method for the other two equations
Please show me how to do these step by step because I have a test tomorow and I need to understand how to do these questions :
1. M-1 under the square root sign +5= m-2
2. 3n+10 under the square root = n+4
3. K-9 under the square root - (k under square root )=-1
4. 2h-5 under square root =1- ( h-3) under square root
Please explain :)
2 answers
Oh thank u so much:) hopefully I can pass the test!
1 answer