What are the solutions to the equation x/8+(3x^2)/(16)-0.5=0 ?

The solutions to the equation x/8+(3x^2)/(16)-0.5=0 are x= 4/3 ,x=-2

Find the zeros of x/8+(3x^2)/(16)-0.5=0

The zeros of x/8+(3x^2)/(16)-0.5=0 are x= 4/3 ,x=-2

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\frac{x}{8} + \frac{3 x ^{2}}{16} - 0.5 = 0

x = \frac{4}{3}, x = - 2

Decimal Notation

x = 1.33333 \dots, x = - 2

Solution steps

\frac{x}{8} + \frac{3 x ^{2}}{16} - 0.5 = 0

Multiply both sides by

10

\frac{5 x}{4} + \frac{15 x ^{2}}{8} - 5 = 0

Find Least Common Multiplier of

4, 8 : 8

Multiply by LCM=

8

\frac{5 x}{4} \cdot 8 + \frac{15 x ^{2}}{8} \cdot 8 - 5 \cdot 8 = 0 \cdot 8

Simplify

15 x^{2} + 10 x - 40 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 15 ( - 40 )}{2 \cdot 15}

1 0^{2} - 4 \cdot 15 (- 40) = 50

x_{1, 2} = \frac{- 10 \pm 50}{2 \cdot 15}

Separate the solutions

x_{1} = \frac{- 10 + 50}{2 \cdot 15}, x_{2} = \frac{- 10 - 50}{2 \cdot 15}

x = \frac{- 10 + 50}{2 \cdot 15} : \frac{4}{3}

x = \frac{- 10 - 50}{2 \cdot 15} : - 2

The solutions to the quadratic equation are:

x = \frac{4}{3}, x = - 2

x^{2} + 60 x + 500 = 6000

12 y - 4 = 9 y^{2}

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

y = a (4 a - 5), a = 3

3 x^{2} - 15 x - 12 = 0

What are the solutions to the equation x/8+(3x^2)/(16)-0.5=0 ?
The solutions to the equation x/8+(3x^2)/(16)-0.5=0 are x= 4/3 ,x=-2
Find the zeros of x/8+(3x^2)/(16)-0.5=0
The zeros of x/8+(3x^2)/(16)-0.5=0 are x= 4/3 ,x=-2