What is the answer to x^2+x-3=|2x-1| ?

The answer to x^2+x-3=|2x-1| is x=-4\lor x=2

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x^2+x-3=|2x-1|

x^{2} + x - 3 = ∣ 2 x - 1 ∣

x = - 4 or x = 2

Solution steps

x^{2} + x - 3 = ∣ 2 x - 1 ∣

Find positive and negative intervals

x < \frac{1}{2}, x \geq \frac{1}{2}

Solve the inequality for each interval

x = - 4 or x = 2

- 16 = - 2 ∣ b ∣

∣ 2 x - 3 ∣ - 7 = 14

∣ 5 - 2 y ∣ + 3 = 8

4 ∣ x ∣ = 0

6 ∣ j ∣ = 72

What is the answer to x^2+x-3=|2x-1| ?
The answer to x^2+x-3=|2x-1| is x=-4\lor x=2
Solve for x: x^2+x-3=|2x-1|
The solution is x=-4\lor x=2