What is the answer to |x^2-3x-7|=3 ?

The answer to |x^2-3x-7|=3 is x=-2\lor x=-1\lor x=4\lor x=5

Solve for x: |x^2-3x-7|=3

The solution is x=-2\lor x=-1\lor x=4\lor x=5

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x^{2} - 3 x - 7 = 3

x = - 2 or x = - 1 or x = 4 or x = 5

Solution steps

x^{2} - 3 x - 7 = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} - 3 x - 7 = - 3 or x^{2} - 3 x - 7 = 3

x^{2} - 3 x - 7 = - 3 or x^{2} - 3 x - 7 = 3

(x = - 1 or x = 4) or (x = - 2 or x = 5)

x = - 2 or x = - 1 or x = 4 or x = 5

∣ x - 2 ∣ = 3 x - 4

∣ - 3 n ∣ = 0

7 - \frac{5}{2} x = 2

2 ∣ 4 - 3 x ∣ - 6 = - 2

3 ∣ x + 2 ∣ - 7 = 14

What is the answer to |x^2-3x-7|=3 ?
The answer to |x^2-3x-7|=3 is x=-2\lor x=-1\lor x=4\lor x=5
Solve for x: |x^2-3x-7|=3
The solution is x=-2\lor x=-1\lor x=4\lor x=5