Question

Solve the following quadratic equation and give your answer correct to two significant figures:-
x-18/x=6.

It's urgent. Please answer this. I will surely mark you as the brainliest❤❤

Answer 1

Answer:

8.19, -2.19

Step-by-step explanation:

Given Equation is x - (18/x) = 6

⇒ x² - 18 = 6x

⇒ x² - 6x = 18

⇒ x² - 6x - 18 = 0

On comparing with ax² + bx + c = 0, we get

a = 1, b = -6, c = -18.

∴ D = b² - 4ac

      = (-6)² - 4(1)(-18)

      = 36 + 72

      = 108.

The solutions are:

x = -b ±  √D/2a

  = -(-6) ± √108/2

  = (6 ± √108)/2

  = (6 ± 6√3)/2

  = 3 ± 3√3

  = 3 + 3(1.732), 3 - 3(1.732)

  = 8.19, -2.19

Hope it helps!