What is the answer to |5x-6|=x^2 ?

The answer to |5x-6|=x^2 is x=-6\lor x=1\lor x=2\lor x=3

Solve for x: |5x-6|=x^2

The solution is x=-6\lor x=1\lor x=2\lor x=3

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∣ 5 x - 6 ∣ = x^{2}

x = - 6 or x = 1 or x = 2 or x = 3

Solution steps

∣ 5 x - 6 ∣ = x^{2}

Find positive and negative intervals

x < \frac{6}{5}, x \geq \frac{6}{5}

Solve the inequality for each interval

(x = - 6 or x = 1) or (x = 2 or x = 3)

x = - 6 or x = 1 or x = 2 or x = 3

1 + ∣ x ∣ = ∣ x + 1 ∣

∣ x - 1 ∣ + ∣ x - 2 ∣ + ∣ x - 3 ∣ = 2

∣ x - 1 ∣ + ∣ x - 2 ∣ + ∣ x - 3 ∣ = 6

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

∣ 3 x - 5 ∣ = 4

What is the answer to |5x-6|=x^2 ?
The answer to |5x-6|=x^2 is x=-6\lor x=1\lor x=2\lor x=3
Solve for x: |5x-6|=x^2
The solution is x=-6\lor x=1\lor x=2\lor x=3