What is the answer to sqrt(3)*x^2+2sqrt(2x)-2sqrt(3)=0 ?

The answer to sqrt(3)*x^2+2sqrt(2x)-2sqrt(3)=0 is x\approx 0.75950…

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sqrt(3)*x^2+2sqrt(2x)-2sqrt(3)=0

3 \cdot x^{2} + 2 2 x - 23 = 0

x \approx 0.75950 \dots

Solution steps

3 x^{2} + 2 2 x - 23 = 0

Remove square roots

8 x = 3 x^{4} - 12 x^{2} + 12

Solve

8 x = 3 x^{4} - 12 x^{2} + 12 : x \approx 2.08797 \dots, x \approx 0.75950 \dots

x \approx 2.08797 \dots, x \approx 0.75950 \dots

Verify Solutions:

x \approx 2.08797 \dots

False

, x \approx 0.75950 \dots

True

The solution is

x \approx 0.75950 \dots

∣ x - 5 ∣ = 3 x + 1

∣ 8 x - 80 ∣ = ∣ 24 x + 13 ∣

∣ x + 2 ∣ = ∣ x - 2 ∣

∣ x + 1 ∣ ∣ x + 4 ∣ = 1

x^{2} - 7 ∣ x ∣ - 8 = 0

What is the answer to sqrt(3)*x^2+2sqrt(2x)-2sqrt(3)=0 ?
The answer to sqrt(3)*x^2+2sqrt(2x)-2sqrt(3)=0 is x\approx 0.75950…
Solve for x: sqrt(3)*x^2+2sqrt(2x)-2sqrt(3)=0
The solution is x\approx 0.75950…