What are the solutions to the equation 3.1x^2+4.2x-5.3=0 ?

The solutions to the equation 3.1x^2+4.2x-5.3=0 are x=(-21+2sqrt(521))/(31),x=-(21+2sqrt(521))/(31)

Find the zeros of 3.1x^2+4.2x-5.3=0

The zeros of 3.1x^2+4.2x-5.3=0 are x=(-21+2sqrt(521))/(31),x=-(21+2sqrt(521))/(31)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3.1 x^{2} + 4.2 x - 5.3 = 0

x = \frac{- 21 + 2 521}{31}, x = - \frac{21 + 2 521}{31}

Decimal Notation

x = 0.79518 \dots, x = - 2.15002 \dots

Solution steps

3.1 x^{2} + 4.2 x - 5.3 = 0

Multiply both sides by

10

31 x^{2} + 42 x - 53 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 42 \pm 4 2 ^{2} - 4 \cdot 31 ( - 53 )}{2 \cdot 31}

4 2^{2} - 4 \cdot 31 (- 53) = 4521

x_{1, 2} = \frac{- 42 \pm 4 521}{2 \cdot 31}

Separate the solutions

x_{1} = \frac{- 42 + 4 521}{2 \cdot 31}, x_{2} = \frac{- 42 - 4 521}{2 \cdot 31}

x = \frac{- 42 + 4 521}{2 \cdot 31} : \frac{- 21 + 2 521}{31}

x = \frac{- 42 - 4 521}{2 \cdot 31} : - \frac{21 + 2 521}{31}

The solutions to the quadratic equation are:

x = \frac{- 21 + 2 521}{31}, x = - \frac{21 + 2 521}{31}

x^{2} - 9 x - 20 = - 6 x - 2

2 x^{2} - 12 x = - 18

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

12 x^{2} - 30 x + 10 = 0

x^{2} + 7 = 8 x

What are the solutions to the equation 3.1x^2+4.2x-5.3=0 ?
The solutions to the equation 3.1x^2+4.2x-5.3=0 are x=(-21+2sqrt(521))/(31),x=-(21+2sqrt(521))/(31)
Find the zeros of 3.1x^2+4.2x-5.3=0
The zeros of 3.1x^2+4.2x-5.3=0 are x=(-21+2sqrt(521))/(31),x=-(21+2sqrt(521))/(31)