Question

x -2 = 4/x find value of x
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Answer 1

Answer:

Given The Function, Fx)={x-4 Find The Value Of X If F(x) = 8. Answer: X =

Answer 2

Answer:

1 + 1√ 5 and 1 - 1√5

Step-by-step explanation:

x - 2 = 4/x

∴ x = 4 / x + 2

∴ x = 4 + 2x / x ...(cross multiple)

∴ x² = 4 + 2x

∴ x² - 2x - 4 = 0

Comparing above equation with ax² + bx + c = 0

a = 1

b = -2

c = -4

b² - 4ac = (-2)² - 4x(1)x(-4)

4 - 4x(-4)

4 + 16

20

x = -b + or - √b² - 4ac / 2a

∴ x = - ( -2 ) + or - √ 20 / 2 (1)

∴ x = 2 + or - √4 x 5 / 2

∴ x = 2 + or - 2√5 / 2

∴ x = 2 ( 1 + or - 1√5) / 2 ( 2 common)

∴ x = 1 + or - 1√5

Therefore, x = 1 + 1√5

OR

x = 1 - 1√5

Hence, 1 + 1√5 and 1 - 1√5 are the roots of the equation.