Question

| x^2 -9 | + | x^2 -1 | + | x^2 - 5x + 6 | = 0
# Find the value of x for the equation.

Answer 1

Step-by-step explanation:

| a | refers to the absolute value of a, this can never be 0 unless x is 0.

Example, | - 3 | = 3 ; | 3 | = 3 ; | - a | = a

Since absolute will be 0 only when a is 0.

Similarly, sum of absolute values will be 0 only all the absolute terms are 0.

It means,

• x^2 - 9 = 0

• x^2 - 1 = 0

• x^2 - 5x + 9 = 0

• x^2 = 9 → x = ± 3

• x^2 = 1 → x = ± 1

• x^2 - 5x + 9 = 0 → ( x - 2 )( x - 3 ) = 0 → x = 2 or 3

We have got different values of x, which may cause false result when put with other terms.

So there's no value for x that may satisfy this.