What is the answer to x^4-2sqrt(|x|)=3 ?

The answer to x^4-2sqrt(|x|)=3 is x=-1.52955…,x=1.52955…

Solve for x: x^4-2sqrt(|x|)=3

The solution is x=-1.52955…,x=1.52955…

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x^{4} - 2 ∣ x ∣ = 3

x = - 1.52955 \dots, x = 1.52955 \dots

Solution steps

x^{4} - 2 ∣ x ∣ = 3

Remove square roots

4 ∣ x ∣ = 9 - 6 x^{4} + x^{8}

Solve

4 ∣ x ∣ = 9 - 6 x^{4} + x^{8} : x = - 1.52955 \dots or x = - 1 or x = 1 or x = 1.52955 \dots

x = - 1.52955 \dots, x = - 1, x = 1, x = 1.52955 \dots

Verify Solutions:

x = - 1.52955 \dots

True

, x = - 1

False

, x = 1

False

, x = 1.52955 \dots

True

The solutions are

x = - 1.52955 \dots, x = 1.52955 \dots

\frac{12}{x + 2} + 8 = 10

(x + 1)^{\frac{4}{3}} = 81

(x^{2} + 16)^{\frac{1}{2}} = 5

x + 6 - x - 5 = 1

4 x - 11 + 2 = x

What is the answer to x^4-2sqrt(|x|)=3 ?
The answer to x^4-2sqrt(|x|)=3 is x=-1.52955…,x=1.52955…
Solve for x: x^4-2sqrt(|x|)=3
The solution is x=-1.52955…,x=1.52955…