What are the solutions to the equation 3x^2-8x+15=0 ?

The solutions to the equation 3x^2-8x+15=0 are x= 4/3+i(sqrt(29))/3 ,x= 4/3-i(sqrt(29))/3

Find the zeros of 3x^2-8x+15=0

The zeros of 3x^2-8x+15=0 are x= 4/3+i(sqrt(29))/3 ,x= 4/3-i(sqrt(29))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 x^{2} - 8 x + 15 = 0

x = \frac{4}{3} + i \frac{29}{3}, x = \frac{4}{3} - i \frac{29}{3}

Solution steps

3 x^{2} - 8 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 3 \cdot 15}{2 \cdot 3}

Simplify

(- 8)^{2} - 4 \cdot 3 \cdot 15 : 229 i

x_{1, 2} = \frac{- ( - 8 ) \pm 2 29 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 29 i}{2 \cdot 3}, x_{2} = \frac{- ( - 8 ) - 2 29 i}{2 \cdot 3}

x = \frac{- ( - 8 ) + 2 29 i}{2 \cdot 3} : \frac{4}{3} + i \frac{29}{3}

x = \frac{- ( - 8 ) - 2 29 i}{2 \cdot 3} : \frac{4}{3} - i \frac{29}{3}

The solutions to the quadratic equation are:

x = \frac{4}{3} + i \frac{29}{3}, x = \frac{4}{3} - i \frac{29}{3}

3 (x - 2)^{2} - 8 = 5

10 y^{2} - 12 y - 16 = 0

y^{2} + y - 3 = 0

9 x^{2} - 18 x - 40 = 0

0 = 2 - (x - 3)^{2}

What are the solutions to the equation 3x^2-8x+15=0 ?
The solutions to the equation 3x^2-8x+15=0 are x= 4/3+i(sqrt(29))/3 ,x= 4/3-i(sqrt(29))/3
Find the zeros of 3x^2-8x+15=0
The zeros of 3x^2-8x+15=0 are x= 4/3+i(sqrt(29))/3 ,x= 4/3-i(sqrt(29))/3