Question

Please find the value of the expression below.

Answer 1

They give you the equation:

`|a^(2) - 2ac + 5c|`

We know that:

a = -3

b = 2

c = -4

You can replace the variables with their corresponding values like this:

`|(-3)^(2) -2(-3)(-4) + 5(-4)|`

You can then go on and do PEMDAS to solve this:

First the exponents:

`-3^(2) = 9`

`|9 -2(-3)(-4) + 5(-4)|`

Then you can multiply all that needs to be multiplied together from left to right:

`(-2)(-3)(-4) = (6)(-4) = -24`

`|9 - 24 + 5(-4)|`

`(5)(-4) = -20`

`|9 - 24 + (-20)|`

`|9 - 24 -20|`

Now from left to right subtract:

9 - 24 = -15

`|-15 -20|`

-15 - 20 = -35

`|-35|`

^^^The | | mean to take the absolute value of the number. In other words make it positive

So the answer to this is 35

Hope this helped!

Answer 2

35

Explanation:

Note that the absolute value always produces a positive result

Given

| a² - 2ac + 5c | ← substitute in given values

= | (- 3)² - 2(- 3 × - 4) + (5 × - 4) |

= | 9 - 24 - 20 | = | - 35 | = 35