What are the solutions to the equation (2x^2)/3+2x-27/6 =0 ?

The solutions to the equation (2x^2)/3+2x-27/6 =0 are x= 3/2 ,x=-9/2

Find the zeros of (2x^2)/3+2x-27/6 =0

The zeros of (2x^2)/3+2x-27/6 =0 are x= 3/2 ,x=-9/2

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\frac{2 x ^{2}}{3} + 2 x - \frac{27}{6} = 0

x = \frac{3}{2}, x = - \frac{9}{2}

Decimal Notation

x = 1.5, x = - 4.5

Solution steps

\frac{2 x ^{2}}{3} + 2 x - \frac{27}{6} = 0

Find Least Common Multiplier of

3, 6 : 6

Multiply by LCM=

6

\frac{2 x ^{2}}{3} \cdot 6 + 2 x \cdot 6 - \frac{27}{6} \cdot 6 = 0 \cdot 6

Simplify

4 x^{2} + 12 x - 27 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 4 ( - 27 )}{2 \cdot 4}

1 2^{2} - 4 \cdot 4 (- 27) = 24

x_{1, 2} = \frac{- 12 \pm 24}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 12 + 24}{2 \cdot 4}, x_{2} = \frac{- 12 - 24}{2 \cdot 4}

x = \frac{- 12 + 24}{2 \cdot 4} : \frac{3}{2}

x = \frac{- 12 - 24}{2 \cdot 4} : - \frac{9}{2}

The solutions to the quadratic equation are:

x = \frac{3}{2}, x = - \frac{9}{2}

6 z^{2} - 1 = 11 z + 9

7 x^{2} = 11 x

5 x^{2} - 30 x = - 4 x - 5

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

2 x^{2} - 4 x - 7

What are the solutions to the equation (2x^2)/3+2x-27/6 =0 ?
The solutions to the equation (2x^2)/3+2x-27/6 =0 are x= 3/2 ,x=-9/2
Find the zeros of (2x^2)/3+2x-27/6 =0
The zeros of (2x^2)/3+2x-27/6 =0 are x= 3/2 ,x=-9/2