What is the answer to |5x^2-3|=2 ?

The answer to |5x^2-3|=2 is x=-1\lor x=-1/(sqrt(5))\lor x= 1/(sqrt(5))\lor x=1

Solve for x: |5x^2-3|=2

The solution is x=-1\lor x=-1/(sqrt(5))\lor x= 1/(sqrt(5))\lor x=1

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5 x^{2} - 3 = 2

x = - 1 or x = - \frac{1}{5} or x = \frac{1}{5} or x = 1

Decimal Notation

x = - 1, x = - 0.4472135955, x = 0.4472135955, x = 1

Solution steps

5 x^{2} - 3 = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x^{2} - 3 = - 2 or 5 x^{2} - 3 = 2

5 x^{2} - 3 = - 2 or 5 x^{2} - 3 = 2

(x = - \frac{1}{5} or x = \frac{1}{5}) or (x = - 1 or x = 1)

x = - 1 or x = - \frac{1}{5} or x = \frac{1}{5} or x = 1

3 x^{2} - 4 x^{2} - 1 + x - 1 = 0

∣ x - 2 ∣ + ∣ x - 5 ∣ = 3

∣ x - 1 ∣ - ∣ x ∣ + ∣ x + 1 ∣ = 2

∣ x - 1 ∣ = 2 x - 5

x^{2} - 2 ∣ x ∣ - 2 = 1

What is the answer to |5x^2-3|=2 ?
The answer to |5x^2-3|=2 is x=-1\lor x=-1/(sqrt(5))\lor x= 1/(sqrt(5))\lor x=1
Solve for x: |5x^2-3|=2
The solution is x=-1\lor x=-1/(sqrt(5))\lor x= 1/(sqrt(5))\lor x=1