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

The answer to |x-1|=x^2+x-3 is x=-1-sqrt(5)\lor x=sqrt(2)

Solve for x: |x-1|=x^2+x-3

The solution is x=-1-sqrt(5)\lor x=sqrt(2)

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∣ x - 1 ∣ = x^{2} + x - 3

x = - 1 - 5 or x = 2

Decimal Notation

x = - 3.23606 \dots, x = 1.41421 \dots

Solution steps

∣ x - 1 ∣ = x^{2} + x - 3

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

x = - 1 - 5 or x = 2

108

- \frac{2}{3 ^{2}}

(x - 3) (x + 2) = 6

x^{2} - 9 x y + 20 y^{2}

5 x^{2} - 35 x + 60

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