What are the solutions to the equation x^2+7/5 x+13/100 =0 ?

The solutions to the equation x^2+7/5 x+13/100 =0 are x=-1/10 ,x=-13/10

Find the zeros of x^2+7/5 x+13/100 =0

The zeros of x^2+7/5 x+13/100 =0 are x=-1/10 ,x=-13/10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} + \frac{7}{5} x + \frac{13}{100} = 0

x = - \frac{1}{10}, x = - \frac{13}{10}

Decimal Notation

x = - 0.1, x = - 1.3

Solution steps

x^{2} + \frac{7}{5} x + \frac{13}{100} = 0

Find Least Common Multiplier of

5, 100 : 100

Multiply by LCM=

100

x^{2} \cdot 100 + \frac{7}{5} x \cdot 100 + \frac{13}{100} \cdot 100 = 0 \cdot 100

Simplify

100 x^{2} + 140 x + 13 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 140 \pm 14 0 ^{2} - 4 \cdot 100 \cdot 13}{2 \cdot 100}

14 0^{2} - 4 \cdot 100 \cdot 13 = 120

x_{1, 2} = \frac{- 140 \pm 120}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- 140 + 120}{2 \cdot 100}, x_{2} = \frac{- 140 - 120}{2 \cdot 100}

x = \frac{- 140 + 120}{2 \cdot 100} : - \frac{1}{10}

x = \frac{- 140 - 120}{2 \cdot 100} : - \frac{13}{10}

The solutions to the quadratic equation are:

x = - \frac{1}{10}, x = - \frac{13}{10}

(x - 9) (x + 9) = 0

2 m^{2} - 3 m + 1 = 0

2 x^{2} + 19 x - 33 = 0

2 m^{2} - 5 = 153

2 x - 3 = x^{2} - 2 x - 3

What are the solutions to the equation x^2+7/5 x+13/100 =0 ?
The solutions to the equation x^2+7/5 x+13/100 =0 are x=-1/10 ,x=-13/10
Find the zeros of x^2+7/5 x+13/100 =0
The zeros of x^2+7/5 x+13/100 =0 are x=-1/10 ,x=-13/10