What are the solutions to the equation x^2+12x+144=0 ?

The solutions to the equation x^2+12x+144=0 are x=-6+6sqrt(3)i,x=-6-6sqrt(3)i

Find the zeros of x^2+12x+144=0

The zeros of x^2+12x+144=0 are x=-6+6sqrt(3)i,x=-6-6sqrt(3)i

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x^{2} + 12 x + 144 = 0

x = - 6 + 63 i, x = - 6 - 63 i

Solution steps

x^{2} + 12 x + 144 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 1 \cdot 144}{2 \cdot 1}

Simplify

1 2^{2} - 4 \cdot 1 \cdot 144 : 123 i

x_{1, 2} = \frac{- 12 \pm 12 3 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 12 + 12 3 i}{2 \cdot 1}, x_{2} = \frac{- 12 - 12 3 i}{2 \cdot 1}

x = \frac{- 12 + 12 3 i}{2 \cdot 1} : - 6 + 63 i

x = \frac{- 12 - 12 3 i}{2 \cdot 1} : - 6 - 63 i

The solutions to the quadratic equation are:

x = - 6 + 63 i, x = - 6 - 63 i

10 x^{2} = 360

6 x^{2} - 11 x = 10

2 x^{2} + 5 x - 1

2 x^{2} + 5 x + 1

9 y^{2} - y + 7 = 0

What are the solutions to the equation x^2+12x+144=0 ?
The solutions to the equation x^2+12x+144=0 are x=-6+6sqrt(3)i,x=-6-6sqrt(3)i
Find the zeros of x^2+12x+144=0
The zeros of x^2+12x+144=0 are x=-6+6sqrt(3)i,x=-6-6sqrt(3)i