Question

If |-2X + 9 |= 3 then the possible value of |-x|-x^2 would be:
(A) 30
(B) -30
(C)-42
(D) 42
​

Answer 1

Answer:

The value of | - x | - x² is - 30.

Option B) - 30

Step-by-step-explanation:

We have given that,

| - 2x + 9 | = 3

We have to find the possible value of | - x | - x².

Now,

| - 2x + 9 | = 3

We know that,

If | x | = a, then x = a or x = - a.

∴ - 2x + 9 = 3 OR - 2x + 9 = - 3

Now,

- 2x + 9 = 3

⇒ - 2x = 3 - 9

⇒ - 2x = - 6

⇒ 2x = 6

⇒ x = 6 ÷ 2

⇒ x = 3

Now,

- 2x + 9 = - 3

⇒ - 2x = - 3 - 9

⇒ - 2x = - 12

⇒ 2x = 12

⇒ x = 12 ÷ 2

⇒ x = 6

∴ x = 3 OR x = 6

Now, let

| - x | - x² = P

By substituting x = 3, we get,

P = | - 3 | - ( 3 )²

⇒ P = 3 - 9

⇒ P = - 6

Now, by substituting x = 6, we get,

P = | - 6 | - ( 6 )²

⇒ P = 6 - 36

⇒ P = - 30

∴ The value of | - x | - x² is - 30.