What are the solutions to the equation 5.1z^2-4.6z-2.1=0 ?

The solutions to the equation 5.1z^2-4.6z-2.1=0 are z= 21/17 ,z=-1/3

Find the zeros of 5.1z^2-4.6z-2.1=0

The zeros of 5.1z^2-4.6z-2.1=0 are z= 21/17 ,z=-1/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5.1 z^{2} - 4.6 z - 2.1 = 0

z = \frac{21}{17}, z = - \frac{1}{3}

Decimal Notation

z = 1.23529 \dots, z = - 0.33333 \dots

Solution steps

5.1 z^{2} - 4.6 z - 2.1 = 0

Multiply both sides by

10

51 z^{2} - 46 z - 21 = 0

Solve with the quadratic formula

z_{1, 2} = \frac{- ( - 46 ) \pm ( - 46 ) ^{2} - 4 \cdot 51 ( - 21 )}{2 \cdot 51}

(- 46)^{2} - 4 \cdot 51 (- 21) = 80

z_{1, 2} = \frac{- ( - 46 ) \pm 80}{2 \cdot 51}

Separate the solutions

z_{1} = \frac{- ( - 46 ) + 80}{2 \cdot 51}, z_{2} = \frac{- ( - 46 ) - 80}{2 \cdot 51}

z = \frac{- ( - 46 ) + 80}{2 \cdot 51} : \frac{21}{17}

z = \frac{- ( - 46 ) - 80}{2 \cdot 51} : - \frac{1}{3}

The solutions to the quadratic equation are:

z = \frac{21}{17}, z = - \frac{1}{3}

54 - 6 x^{2} = 0

100 x^{2} - 8 = 73

x^{2} - 2 a x = 6 ab - 3 b x

(x - 8) (x + 6) = 0

n^{2} - 1 = 0

What are the solutions to the equation 5.1z^2-4.6z-2.1=0 ?
The solutions to the equation 5.1z^2-4.6z-2.1=0 are z= 21/17 ,z=-1/3
Find the zeros of 5.1z^2-4.6z-2.1=0
The zeros of 5.1z^2-4.6z-2.1=0 are z= 21/17 ,z=-1/3