What are the solutions to the equation -3x^2+6x-2=0.75 ?

The solutions to the equation -3x^2+6x-2=0.75 are x=(6-sqrt(3))/6 ,x=(6+sqrt(3))/6

Find the zeros of -3x^2+6x-2=0.75

The zeros of -3x^2+6x-2=0.75 are x=(6-sqrt(3))/6 ,x=(6+sqrt(3))/6

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- 3 x^{2} + 6 x - 2 = 0.75

x = \frac{6 - 3}{6}, x = \frac{6 + 3}{6}

Decimal Notation

x = 0.71132 \dots, x = 1.28867 \dots

Solution steps

- 3 x^{2} + 6 x - 2 = 0.75

Multiply both sides by

100

- 300 x^{2} + 600 x - 200 = 75

Move

75

to the left side

- 300 x^{2} + 600 x - 275 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 600 \pm 60 0 ^{2} - 4 ( - 300 ) ( - 275 )}{2 ( - 300 )}

60 0^{2} - 4 (- 300) (- 275) = 1003

x_{1, 2} = \frac{- 600 \pm 100 3}{2 ( - 300 )}

Separate the solutions

x_{1} = \frac{- 600 + 100 3}{2 ( - 300 )}, x_{2} = \frac{- 600 - 100 3}{2 ( - 300 )}

x = \frac{- 600 + 100 3}{2 ( - 300 )} : \frac{6 - 3}{6}

x = \frac{- 600 - 100 3}{2 ( - 300 )} : \frac{6 + 3}{6}

The solutions to the quadratic equation are:

x = \frac{6 - 3}{6}, x = \frac{6 + 3}{6}

x = 0.008 (1 - \frac{( 4 - 390 \cdot x )}{( - 8 )})^{2}

6 x^{2} - 7 x + 4 = 0

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

(x - 3)^{2} + 8 = 12

4 x^{2} - 35 x + 24 = 0

What are the solutions to the equation -3x^2+6x-2=0.75 ?
The solutions to the equation -3x^2+6x-2=0.75 are x=(6-sqrt(3))/6 ,x=(6+sqrt(3))/6
Find the zeros of -3x^2+6x-2=0.75
The zeros of -3x^2+6x-2=0.75 are x=(6-sqrt(3))/6 ,x=(6+sqrt(3))/6