What is the answer to 4|x|=x^2 ?

The answer to 4|x|=x^2 is x=-4\lor x=0\lor x=4

Solve for x: 4|x|=x^2

The solution is x=-4\lor x=0\lor x=4

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4 ∣ x ∣ = x^{2}

x = - 4 or x = 0 or x = 4

Solution steps

4 ∣ x ∣ = x^{2}

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 4 or (x = 0 or x = 4)

x = - 4 or x = 0 or x = 4

\frac{x ^{2} - 3 x + 2}{4 - x ^{2}} \leq 0

\frac{x + 3}{8} - \frac{x + 5}{5} \geq \frac{3}{10}

\frac{1 - ( 1 + 0.055 ) ^{- 20}}{0.055}

16 = x^{2}

2 x + 3 = - 1