What are the solutions to the equation 2x^2+32x+144=0 ?

The solutions to the equation 2x^2+32x+144=0 are x=-8+2sqrt(2)i,x=-8-2sqrt(2)i

Find the zeros of 2x^2+32x+144=0

The zeros of 2x^2+32x+144=0 are x=-8+2sqrt(2)i,x=-8-2sqrt(2)i

Popular >

2 x^{2} + 32 x + 144 = 0

x = - 8 + 22 i, x = - 8 - 22 i

Solution steps

2 x^{2} + 32 x + 144 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 32 \pm 3 2 ^{2} - 4 \cdot 2 \cdot 144}{2 \cdot 2}

Simplify

3 2^{2} - 4 \cdot 2 \cdot 144 : 82 i

x_{1, 2} = \frac{- 32 \pm 8 2 i}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 32 + 8 2 i}{2 \cdot 2}, x_{2} = \frac{- 32 - 8 2 i}{2 \cdot 2}

x = \frac{- 32 + 8 2 i}{2 \cdot 2} : - 8 + 22 i

x = \frac{- 32 - 8 2 i}{2 \cdot 2} : - 8 - 22 i

The solutions to the quadratic equation are:

x = - 8 + 22 i, x = - 8 - 22 i

- \frac{2}{3} x^{2} - 4 x - 3 = - \frac{1}{6} x^{2} - x - 3

132 x - 12 x^{2} = 0

x, x^{2} + y^{2} - 4 x + 2 y + 36 = 0

b, b^{2} + d^{2} = 14 b d

x, 36 x^{2} + 100 y^{2} - 72 x + 200 y + 3464 = 0

What are the solutions to the equation 2x^2+32x+144=0 ?
The solutions to the equation 2x^2+32x+144=0 are x=-8+2sqrt(2)i,x=-8-2sqrt(2)i
Find the zeros of 2x^2+32x+144=0
The zeros of 2x^2+32x+144=0 are x=-8+2sqrt(2)i,x=-8-2sqrt(2)i