d The inverse operation to a square root is to square.
A
a x=- 3
B
b m=10
C
c p=- 4 and p=2/3
D
d x=23
Practice makes perfect
a Before we can solve this equation, we have to distribute the factor outside of the parentheses on the left-hand side. After that, we can perform inverse operations until x is isolated.
Finally, to find the roots we have to split the fraction into the positive and negative case.
Positive:& - 10 + 14/6= 2/3 [0.5em]
Negative:& - 10 - 14/6=- 4
The equations roots are p=- 4 and p= 23.
d Since the inverse operation to a square root is to square, we have to square both sides to eliminate the square root.
Note that squaring an equation can possibly introduce false roots. Therefore, we must test our solution by substituting it into the original equation and then simplify.
