What is the answer to x=-1.5-0.4*(sqrt(|x-5.6|)+sqrt(0.6)) ?

The answer to x=-1.5-0.4*(sqrt(|x-5.6|)+sqrt(0.6)) is x=(-3.77967…-sqrt(4.76789…))/2

Solve for x: x=-1.5-0.4*(sqrt(|x-5.6|)+sqrt(0.6))

The solution is x=(-3.77967…-sqrt(4.76789…))/2

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x = - 1.5 - 0.4 \cdot (∣ x - 5.6 ∣ + 0.6)

x = \frac{- 3.77967 \dots - 4.76789 \dots}{2}

Decimal Notation

x = - 2.98161 \dots

Solution steps

x = - 1.5 - 0.4 (∣ x - 5.6 ∣ + 0.6)

Expand

- 1.5 - 0.4 (∣ x - 5.6 ∣ + 0.6) : - 1.5 - 0.4 ∣ x - 5.6 ∣ - 0.4 0.6

x = - 1.5 - 0.4 ∣ x - 5.6 ∣ - 0.4 0.6

Remove square roots

x^{2} + 3 x + 0.8 0.6 x + 1.2 0.6 + 2.346 = 0.16 ∣ x - 5.6 ∣

Solve

x^{2} + 3 x + 0.8 0.6 x + 1.2 0.6 + 2.346 = 0.16 ∣ x - 5.6 ∣ : x = \frac{- 3.77967 \dots - 4.76789 \dots}{2} or x = \frac{- 3.77967 \dots + 4.76789 \dots}{2}

x = \frac{- 3.77967 \dots - 4.76789 \dots}{2}, x = \frac{- 3.77967 \dots + 4.76789 \dots}{2}

Verify Solutions:

x = \frac{- 3.77967 \dots - 4.76789 \dots}{2}

True

, x = \frac{- 3.77967 \dots + 4.76789 \dots}{2}

False

The solution is

x = \frac{- 3.77967 \dots - 4.76789 \dots}{2}

5 y^{2} + 15 y - 50

4^{7}

(- \frac{x ^{2}}{8})^{2}

(x - 4) (x - 1) < 0

2 (\frac{1}{2})^{2} - 1

What is the answer to x=-1.5-0.4*(sqrt(|x-5.6|)+sqrt(0.6)) ?
The answer to x=-1.5-0.4*(sqrt(|x-5.6|)+sqrt(0.6)) is x=(-3.77967…-sqrt(4.76789…))/2
Solve for x: x=-1.5-0.4*(sqrt(|x-5.6|)+sqrt(0.6))
The solution is x=(-3.77967…-sqrt(4.76789…))/2