What are the solutions to the equation (x^2)/(10)+x+3/5 =0 ?

The solutions to the equation (x^2)/(10)+x+3/5 =0 are x=-5+sqrt(19),x=-5-sqrt(19)

Find the zeros of (x^2)/(10)+x+3/5 =0

The zeros of (x^2)/(10)+x+3/5 =0 are x=-5+sqrt(19),x=-5-sqrt(19)

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\frac{x ^{2}}{10} + x + \frac{3}{5} = 0

x = - 5 + 19, x = - 5 - 19

Decimal Notation

x = - 0.64110 \dots, x = - 9.35889 \dots

Solution steps

\frac{x ^{2}}{10} + x + \frac{3}{5} = 0

Find Least Common Multiplier of

10, 5 : 10

Multiply by LCM=

10

\frac{x ^{2}}{10} \cdot 10 + x \cdot 10 + \frac{3}{5} \cdot 10 = 0 \cdot 10

Simplify

x^{2} + 10 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot 6}{2 \cdot 1}

1 0^{2} - 4 \cdot 1 \cdot 6 = 219

x_{1, 2} = \frac{- 10 \pm 2 19}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 10 + 2 19}{2 \cdot 1}, x_{2} = \frac{- 10 - 2 19}{2 \cdot 1}

x = \frac{- 10 + 2 19}{2 \cdot 1} : - 5 + 19

x = \frac{- 10 - 2 19}{2 \cdot 1} : - 5 - 19

The solutions to the quadratic equation are:

x = - 5 + 19, x = - 5 - 19

\frac{x ^{2}}{4} + x + 1 = 0

x^{2} = 8.1

(x + 4)^{2} - 6 = 7

x^{2} + 58 = 14 x

6 x^{2} - 22 x - 8 = 0

What are the solutions to the equation (x^2)/(10)+x+3/5 =0 ?
The solutions to the equation (x^2)/(10)+x+3/5 =0 are x=-5+sqrt(19),x=-5-sqrt(19)
Find the zeros of (x^2)/(10)+x+3/5 =0
The zeros of (x^2)/(10)+x+3/5 =0 are x=-5+sqrt(19),x=-5-sqrt(19)