What is the answer to |x^2+5x+3|=3 ?

The answer to |x^2+5x+3|=3 is x=-5\lor x=-3\lor x=-2\lor x=0

Solve for x: |x^2+5x+3|=3

The solution is x=-5\lor x=-3\lor x=-2\lor x=0

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x^{2} + 5 x + 3 = 3

x = - 5 or x = - 3 or x = - 2 or x = 0

Solution steps

x^{2} + 5 x + 3 = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} + 5 x + 3 = - 3 or x^{2} + 5 x + 3 = 3

x^{2} + 5 x + 3 = - 3 or x^{2} + 5 x + 3 = 3

(x = - 3 or x = - 2) or (x = - 5 or x = 0)

x = - 5 or x = - 3 or x = - 2 or x = 0

∣ 5 x + 3 ∣ + 4 = 11

9 x = 63

(x - 4)^{2} \geq 9

\frac{16}{3} + 3

x^{2} + 5 x > 0

What is the answer to |x^2+5x+3|=3 ?
The answer to |x^2+5x+3|=3 is x=-5\lor x=-3\lor x=-2\lor x=0
Solve for x: |x^2+5x+3|=3
The solution is x=-5\lor x=-3\lor x=-2\lor x=0