What are the solutions to the equation 12+1.6x=8x-1/5 x^2 ?

The solutions to the equation 12+1.6x=8x-1/5 x^2 are x=2,x=30

Find the zeros of 12+1.6x=8x-1/5 x^2

The zeros of 12+1.6x=8x-1/5 x^2 are x=2,x=30

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12 + 1.6 x = 8 x - \frac{1}{5} x^{2}

x = 2, x = 30

Solution steps

12 + 1.6 x = 8 x - \frac{1}{5} x^{2}

Multiply both sides by

10

120 + 16 x = 80 x - 2 x^{2}

Switch sides

80 x - 2 x^{2} = 120 + 16 x

Move

16 x

to the left side

- 2 x^{2} + 64 x = 120

Move

120

to the left side

- 2 x^{2} + 64 x - 120 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 64 \pm 6 4 ^{2} - 4 ( - 2 ) ( - 120 )}{2 ( - 2 )}

6 4^{2} - 4 (- 2) (- 120) = 56

x_{1, 2} = \frac{- 64 \pm 56}{2 ( - 2 )}

Separate the solutions

x_{1} = \frac{- 64 + 56}{2 ( - 2 )}, x_{2} = \frac{- 64 - 56}{2 ( - 2 )}

x = \frac{- 64 + 56}{2 ( - 2 )} : 2

x = \frac{- 64 - 56}{2 ( - 2 )} : 30

The solutions to the quadratic equation are:

x = 2, x = 30

(3 - x) (- 1 - x) + 4 = 0

(- 3 y)^{2} + y^{2} = 40

4 x + x \cdot 4 (x - 2) = (3 x + 15) (x - 2)

16 t^{2} - 64 t + 48 = 0

2 x^{2} - 3 x = - 6

What are the solutions to the equation 12+1.6x=8x-1/5 x^2 ?
The solutions to the equation 12+1.6x=8x-1/5 x^2 are x=2,x=30
Find the zeros of 12+1.6x=8x-1/5 x^2
The zeros of 12+1.6x=8x-1/5 x^2 are x=2,x=30