What are the solutions to the equation (x-9)/6+3/2-(x^2)/3 =0 ?

The solutions to the equation (x-9)/6+3/2-(x^2)/3 =0 are x=0,x= 1/2

Find the zeros of (x-9)/6+3/2-(x^2)/3 =0

The zeros of (x-9)/6+3/2-(x^2)/3 =0 are x=0,x= 1/2

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\frac{x - 9}{6} + \frac{3}{2} - \frac{x ^{2}}{3} = 0

x = 0, x = \frac{1}{2}

Decimal Notation

x = 0, x = 0.5

Solution steps

\frac{x - 9}{6} + \frac{3}{2} - \frac{x ^{2}}{3} = 0

Find Least Common Multiplier of

6, 2, 3 : 6

Multiply by LCM=

6

\frac{x - 9}{6} \cdot 6 + \frac{3}{2} \cdot 6 - \frac{x ^{2}}{3} \cdot 6 = 0 \cdot 6

Simplify

x - 9 + 9 - 2 x^{2} = 0

- 2 x^{2} + x = 0

Solve with the quadratic formula

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

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

x_{1, 2} = \frac{- 1 \pm 1}{2 ( - 2 )}

Separate the solutions

x_{1} = \frac{- 1 + 1}{2 ( - 2 )}, x_{2} = \frac{- 1 - 1}{2 ( - 2 )}

x = \frac{- 1 + 1}{2 ( - 2 )} : 0

x = \frac{- 1 - 1}{2 ( - 2 )} : \frac{1}{2}

The solutions to the quadratic equation are:

x = 0, x = \frac{1}{2}

∣ 2 x + 3 ∣ = 1 - x

7 x + 9 = 9 x - 23

(\frac{2}{5})^{1}

- 2 x - 15 < - x + 8

x^{2} - x - 30 = 0

What are the solutions to the equation (x-9)/6+3/2-(x^2)/3 =0 ?
The solutions to the equation (x-9)/6+3/2-(x^2)/3 =0 are x=0,x= 1/2
Find the zeros of (x-9)/6+3/2-(x^2)/3 =0
The zeros of (x-9)/6+3/2-(x^2)/3 =0 are x=0,x= 1/2