What are the solutions to the equation 1/8 x^2+5/4 x+1/3 =0 ?

The solutions to the equation 1/8 x^2+5/4 x+1/3 =0 are x=(-15+sqrt(201))/3 ,x=-(15+sqrt(201))/3

Find the zeros of 1/8 x^2+5/4 x+1/3 =0

The zeros of 1/8 x^2+5/4 x+1/3 =0 are x=(-15+sqrt(201))/3 ,x=-(15+sqrt(201))/3

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\frac{1}{8} x^{2} + \frac{5}{4} x + \frac{1}{3} = 0

x = \frac{- 15 + 201}{3}, x = - \frac{15 + 201}{3}

Decimal Notation

x = - 0.27418 \dots, x = - 9.72581 \dots

Solution steps

\frac{1}{8} x^{2} + \frac{5}{4} x + \frac{1}{3} = 0

Find Least Common Multiplier of

8, 4, 3 : 24

Multiply by LCM=

24

\frac{1}{8} x^{2} \cdot 24 + \frac{5}{4} x \cdot 24 + \frac{1}{3} \cdot 24 = 0 \cdot 24

Simplify

3 x^{2} + 30 x + 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 \cdot 3 \cdot 8}{2 \cdot 3}

3 0^{2} - 4 \cdot 3 \cdot 8 = 2201

x_{1, 2} = \frac{- 30 \pm 2 201}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 30 + 2 201}{2 \cdot 3}, x_{2} = \frac{- 30 - 2 201}{2 \cdot 3}

x = \frac{- 30 + 2 201}{2 \cdot 3} : \frac{- 15 + 201}{3}

x = \frac{- 30 - 2 201}{2 \cdot 3} : - \frac{15 + 201}{3}

The solutions to the quadratic equation are:

x = \frac{- 15 + 201}{3}, x = - \frac{15 + 201}{3}

4 x^{2} + 5 = - 7

2 x^{2} + 8 x - 384 = 0

x^{2} - 5 x + 2

14 x^{2} - 35 x = 0

n^{2} - 2 n - 28 = 0

What are the solutions to the equation 1/8 x^2+5/4 x+1/3 =0 ?
The solutions to the equation 1/8 x^2+5/4 x+1/3 =0 are x=(-15+sqrt(201))/3 ,x=-(15+sqrt(201))/3
Find the zeros of 1/8 x^2+5/4 x+1/3 =0
The zeros of 1/8 x^2+5/4 x+1/3 =0 are x=(-15+sqrt(201))/3 ,x=-(15+sqrt(201))/3