What is the answer to x|x|+7x-8=0 ?

The answer to x|x|+7x-8=0 is x=1

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x|x|+7x-8=0

x ∣ x ∣ + 7 x - 8 = 0

x = 1

Solution steps

x ∣ x ∣ + 7 x - 8 = 0

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

No Solution or x = 1

x = 1

2 ∣ (x - 2) (x - 5) ∣ = (x - 3)^{2}

∣ x + 3 ∣ = - ∣ x + 1 ∣

∣ 5 x + 16 ∣ = ∣ 3 x + 48 ∣

∣ x - 1 ∣ + ∣ 2 x + 4 ∣ = 5

∣ a + 2 ∣ = 3 + a