What are the solutions to the equation -3x^2+9x=7 ?

The solutions to the equation -3x^2+9x=7 are x= 3/2-i(sqrt(3))/6 ,x= 3/2+i(sqrt(3))/6

Find the zeros of -3x^2+9x=7

The zeros of -3x^2+9x=7 are x= 3/2-i(sqrt(3))/6 ,x= 3/2+i(sqrt(3))/6

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- 3 x^{2} + 9 x = 7

x = \frac{3}{2} - i \frac{3}{6}, x = \frac{3}{2} + i \frac{3}{6}

Solution steps

- 3 x^{2} + 9 x = 7

Move

7

to the left side

- 3 x^{2} + 9 x - 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 9 \pm 9 ^{2} - 4 ( - 3 ) ( - 7 )}{2 ( - 3 )}

Simplify

9^{2} - 4 (- 3) (- 7) : 3 i

x_{1, 2} = \frac{- 9 \pm 3 i}{2 ( - 3 )}

Separate the solutions

x_{1} = \frac{- 9 + 3 i}{2 ( - 3 )}, x_{2} = \frac{- 9 - 3 i}{2 ( - 3 )}

x = \frac{- 9 + 3 i}{2 ( - 3 )} : \frac{3}{2} - i \frac{3}{6}

x = \frac{- 9 - 3 i}{2 ( - 3 )} : \frac{3}{2} + i \frac{3}{6}

The solutions to the quadratic equation are:

x = \frac{3}{2} - i \frac{3}{6}, x = \frac{3}{2} + i \frac{3}{6}

x^{2} + 1 = 4 x + 3

5 x^{2} - 5 x - 30 = 0

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

12 x^{2} + 6 x = 5

(8 + d)^{2} + 81 = 100

What are the solutions to the equation -3x^2+9x=7 ?
The solutions to the equation -3x^2+9x=7 are x= 3/2-i(sqrt(3))/6 ,x= 3/2+i(sqrt(3))/6
Find the zeros of -3x^2+9x=7
The zeros of -3x^2+9x=7 are x= 3/2-i(sqrt(3))/6 ,x= 3/2+i(sqrt(3))/6