Question

A+b= 5 ab= -2 (a-b)²= ?

Answer 1

Ответ:

(a-b)² = 33

Объяснение:

a+b= 5   |в квадрат

a²+2ab+b²=25

ab= -2   |*4

4ab = -8

От (a²+2ab+b²=25) отнимем

(4ab = -8) ->

a²+2ab+b² - 4ab = 25 - (-8)

a²- 2ab+b²  = 25 + 8 = 33

(a-b)²=33

Answer 2

To find the value of (a - b)², you can use the information provided:

1. A + B = 5
2. AB = -2

First, let's solve for A and B individually using these two equations. We can use the quadratic formula to find A and B:

For A: A = (5 ± √(5² - 4(1)(-2))) / (2(1)) A = (5 ± √(25 + 8)) / 2 A = (5 ± √33) / 2

For B: B = (5 ± √(5² - 4(1)(-2))) / (2(1)) B = (5 ± √(25 + 8)) / 2 B = (5 ± √33) / 2

Now that we have the values of A and B, we can find (a - b)²:

(a - b)² = (A - B)² (a - b)² = [(5 + √33)/2 - (5 - √33)/2]² (a - b)² = [√33]² (a - b)² = 33

So, (a - b)² = 33.