Question

W
23 Find the relation between x and y from the below given equations.
x2 + 4x - 32 = 0
y2 - 8y - 128 = 0
0ps: A.x>y
B.x<yor x = y
C. Can't be determined
D.x> y or x = y
E. xy​

Answer 1

B. x < y or, x = y

The required relation between x and y: x < y or, x = y.

Step-by-step explanation:

The first equation is

x² + 4x - 32 = 0

➜ x² + 8x - 4x - 32 = 0

➜ x (x + 8) - 4 (x + 8) = 0

➜ (x + 8) (x - 4) = 0

Either x + 8 = 0 or, x - 4 = 0

➜ x = - 8, 4

The second equation is

y² - 8y - 128 = 0

➜ y² - 16y + 8y - 128 = 0

➜ y (y - 16) + 8 (y - 16) = 0

➜ (y - 16) (y + 8) = 0

Either y - 16 = 0 or, y + 8 = 0

➜ y = 16, - 8

Here, x = - 8 = y; also, x (= 4) < y (= 16).

Option B is correct.

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