Question #b8a92
2 Answers
Explanation:
there is no solution to the equation
x=−9 is an extraneous solution
that is a solution obtained by the simplification of the
process that does not satisfy the original equation
As a check
left side =3|−18+7|=3|−11|=33
right side =(3×−9)−6=−33
since left side ≠ right side
⇒x=−9 is an extraneous solution
this is a valuable lesson in the need to check solutions
Because the absolute value changes the sign and positive numbers do not equal negative numbers.
Explanation:
One way to see how the
Before we go any further, you should now see these two sides cannot be equal. The left hand side will result in a positive number, but the right hand side will result in a negative number!
Remember, absolute value makes the number inside positive.
If you try to solve this algebraically, you get
Divide by
The trick to solving this any more depends on the sign (positive or negative) of what's inside the absolute value brackets.
If