Determine if the following sets of quadratics are equivalent. Choose true or false. x 2 - 10x + 14 = 0 and (2x - 10) 2 = 156 (x - 10) 2 = 68 and x 2 - 20x = - 32 x 2 - 6x = 247 and (x - 3) 2 = 256 (x + 5) 2 = 65 and x 2 = 90 - 10x T/F for each

We have to determine if the sets of quadratics are equivalent:

A) x² - 10 x - 14 = 0 and (2 x - 10) ² = 156

(2 x - 10) ² - 156 = 0

4 x² - 40 x + 100 - 156 = 0

4 x² - 40 x - 56 = 0 / : 4

x² - 10 x - 14 = 0 T (True)

B) (x - 10) ² = 68 and x² - 20 x = - 32

(x - 10) ² = 68

x² - 20 x + 100 = 68

x² - 20 x = 68 - 100

x² - 20 x = - 32 T (True)

C) x² - 6 x = 247 and (x - 3) ² = 256

(x - 3) ² = 256

x² - 6 x + 9 = 256

x² - 6 x = 247 T (True)

D) (x + 5) ² = 65 and x² = 90 - 10 x

(x + 5) ² = 65

x² + 10 x + 25 = 65

x² = 65 - 25 - 10 x

x² = 40 - 10 x F (False)