What are the solutions to the equation x^2+14/15 x+1/5 =0 ?

The solutions to the equation x^2+14/15 x+1/5 =0 are x=-1/3 ,x=-3/5

Find the zeros of x^2+14/15 x+1/5 =0

The zeros of x^2+14/15 x+1/5 =0 are x=-1/3 ,x=-3/5

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x^{2} + \frac{14}{15} x + \frac{1}{5} = 0

x = - \frac{1}{3}, x = - \frac{3}{5}

Decimal Notation

x = - 0.33333 \dots, x = - 0.6

Solution steps

x^{2} + \frac{14}{15} x + \frac{1}{5} = 0

Find Least Common Multiplier of

15, 5 : 15

Multiply by LCM=

15

x^{2} \cdot 15 + \frac{14}{15} x \cdot 15 + \frac{1}{5} \cdot 15 = 0 \cdot 15

Simplify

15 x^{2} + 14 x + 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 \cdot 15 \cdot 3}{2 \cdot 15}

1 4^{2} - 4 \cdot 15 \cdot 3 = 4

x_{1, 2} = \frac{- 14 \pm 4}{2 \cdot 15}

Separate the solutions

x_{1} = \frac{- 14 + 4}{2 \cdot 15}, x_{2} = \frac{- 14 - 4}{2 \cdot 15}

x = \frac{- 14 + 4}{2 \cdot 15} : - \frac{1}{3}

x = \frac{- 14 - 4}{2 \cdot 15} : - \frac{3}{5}

The solutions to the quadratic equation are:

x = - \frac{1}{3}, x = - \frac{3}{5}

x^{2} + 6 x - 2

7 r^{2} + 8 = 281

2 a^{2} + 5 a + 2 = 0

x^{2} + 6 x = 15

4 v^{2} - 12 v = 0

What are the solutions to the equation x^2+14/15 x+1/5 =0 ?
The solutions to the equation x^2+14/15 x+1/5 =0 are x=-1/3 ,x=-3/5
Find the zeros of x^2+14/15 x+1/5 =0
The zeros of x^2+14/15 x+1/5 =0 are x=-1/3 ,x=-3/5