WOLFRAM|DEMONSTRATIONS PROJECT

Solving a Type of Equation with a Square Root

​
a
1
b
2
c
-3
show condition for domain
of square root and right side
simplified condition
square
expand
simplify
solve
show solution
Solve the equation:
(x-2)(x-1)
x+3
(x≤1∨x≥2)∧x≥-3
-3≤x≤1∨x≥2
(x-2)(x-1)
2
(x+3)
2
x
-3x+2
2
x
+6x+9
-9x-7
x
7
9
x
7
9
This Demonstration solves an equation of the form
(x-a)(x-b)
=x-c
. The potential solution is checked; if it fails to satisfy the original equation, "show solution" is False.