Solve the equation. round to the nearest hundredth. show work.

The value of x = -0.17

Step-by-step explanation:

∵

Let

∴

∴ 2y² = 1 - y

∴ 2y² + y - 1 =0 ⇒ factorize

∴ (2y - 1)(y + 1) = 0

∴ 2y - 1 = 0 ⇒ 2y = 1 ⇒ y = 1/2

∴ y + 1 = 0 ⇒ y = -1

∵  

Note: ⇒ refused

         (never gives -ve values)

∴ ⇒ insert ln in both sides

∵ ⇒ ln(e) = 1

∴ 4xln(e) = ln(1/2) ⇒ 4x = ln(1/2)

∴ x = [ln(1/2)]/4 = -0.17

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step-by-step explanation:

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