What are the solutions to the equation 4x^2+16x+23=0 ?

The solutions to the equation 4x^2+16x+23=0 are x=-2+i(sqrt(7))/2 ,x=-2-i(sqrt(7))/2

Find the zeros of 4x^2+16x+23=0

The zeros of 4x^2+16x+23=0 are x=-2+i(sqrt(7))/2 ,x=-2-i(sqrt(7))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 x^{2} + 16 x + 23 = 0

x = - 2 + i \frac{7}{2}, x = - 2 - i \frac{7}{2}

Solution steps

4 x^{2} + 16 x + 23 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 \cdot 4 \cdot 23}{2 \cdot 4}

Simplify

1 6^{2} - 4 \cdot 4 \cdot 23 : 47 i

x_{1, 2} = \frac{- 16 \pm 4 7 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 16 + 4 7 i}{2 \cdot 4}, x_{2} = \frac{- 16 - 4 7 i}{2 \cdot 4}

x = \frac{- 16 + 4 7 i}{2 \cdot 4} : - 2 + i \frac{7}{2}

x = \frac{- 16 - 4 7 i}{2 \cdot 4} : - 2 - i \frac{7}{2}

The solutions to the quadratic equation are:

x = - 2 + i \frac{7}{2}, x = - 2 - i \frac{7}{2}

(3 x + 8)^{2} - 12 = 37

(x - 1)^{2} + (x - 2)^{2} = (x - 3)^{2} + 5 (x - 2)

3 x^{2} + 7 x - 5 = 0

x^{2} - 10 x = 11

(x + 4)^{2} - 49 = 0

What are the solutions to the equation 4x^2+16x+23=0 ?
The solutions to the equation 4x^2+16x+23=0 are x=-2+i(sqrt(7))/2 ,x=-2-i(sqrt(7))/2
Find the zeros of 4x^2+16x+23=0
The zeros of 4x^2+16x+23=0 are x=-2+i(sqrt(7))/2 ,x=-2-i(sqrt(7))/2