If x+y=12 and xy=32,then find X and y
answer with explaination

x = 4, y = 8 or x = 8, y = 4

Step-by-step explanation:

Given the 2 equations

x + y = 12 → (1)

xy = 32 → (2)

From 2

y =

Substitute y = into (1)

x + = 12 ( multiply through by x )

x² + 32 = 12x ( subtract 12x from both sides )

x² - 12x + 32 = 0 ← in standard form

(x - 4)(x - 8) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 8 = 0 ⇒ x = 8

Substitute these values into (1) for corresponding values of y

x = 4  : 4 + y = 12 ⇒ y = 8

x = 8 : 8 + 4 = 12 ⇒ y = 4

the diver is 33 feet below the surface.

step-by-step explanation:

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