What are the solutions to the equation 3x^2-10x-9=0 ?

The solutions to the equation 3x^2-10x-9=0 are x=(5+2sqrt(13))/3 ,x=(5-2sqrt(13))/3

Find the zeros of 3x^2-10x-9=0

The zeros of 3x^2-10x-9=0 are x=(5+2sqrt(13))/3 ,x=(5-2sqrt(13))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 x^{2} - 10 x - 9 = 0

x = \frac{5 + 2 13}{3}, x = \frac{5 - 2 13}{3}

Decimal Notation

x = 4.07036 \dots, x = - 0.73703 \dots

Solution steps

3 x^{2} - 10 x - 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 3 ( - 9 )}{2 \cdot 3}

(- 10)^{2} - 4 \cdot 3 (- 9) = 413

x_{1, 2} = \frac{- ( - 10 ) \pm 4 13}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 4 13}{2 \cdot 3}, x_{2} = \frac{- ( - 10 ) - 4 13}{2 \cdot 3}

x = \frac{- ( - 10 ) + 4 13}{2 \cdot 3} : \frac{5 + 2 13}{3}

x = \frac{- ( - 10 ) - 4 13}{2 \cdot 3} : \frac{5 - 2 13}{3}

The solutions to the quadratic equation are:

x = \frac{5 + 2 13}{3}, x = \frac{5 - 2 13}{3}

3 x y^{2} - 27 x^{3}

64 x^{2} y^{2} - 144 z^{2}

- 8 \leq z + 6.4

(- 216)^{- \frac{2}{3}}

(a + b)^{3} + a + b

What are the solutions to the equation 3x^2-10x-9=0 ?
The solutions to the equation 3x^2-10x-9=0 are x=(5+2sqrt(13))/3 ,x=(5-2sqrt(13))/3
Find the zeros of 3x^2-10x-9=0
The zeros of 3x^2-10x-9=0 are x=(5+2sqrt(13))/3 ,x=(5-2sqrt(13))/3