What is the answer to 5x^2+4x|x|-100=0 ?

The answer to 5x^2+4x|x|-100=0 is x=-10\lor x= 10/3

Solve for x: 5x^2+4x|x|-100=0

The solution is x=-10\lor x= 10/3

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5 x^{2} + 4 x ∣ x ∣ - 100 = 0

x = - 10 or x = \frac{10}{3}

Decimal Notation

x = - 10, x = 3.33333 \dots

Solution steps

5 x^{2} + 4 x ∣ x ∣ - 100 = 0

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 10 or x = \frac{10}{3}

(x - 3)^{2} + ∣ x - 3 ∣ - 11 = 0

x^{2} - 3 x + 2 - x^{2} - 5 x + 4 = 2 x^{2} - 8 x + 6

∣ 3 x - 1 ∣ = 4

∣ x ∣ + x = 0

∣ x - 1 ∣ = 4 - x

What is the answer to 5x^2+4x|x|-100=0 ?
The answer to 5x^2+4x|x|-100=0 is x=-10\lor x= 10/3
Solve for x: 5x^2+4x|x|-100=0
The solution is x=-10\lor x= 10/3