What are the solutions to the equation -3x^2-60x+450=-8x^2 ?

The solutions to the equation -3x^2-60x+450=-8x^2 are x=6+3sqrt(6)i,x=6-3sqrt(6)i

Find the zeros of -3x^2-60x+450=-8x^2

The zeros of -3x^2-60x+450=-8x^2 are x=6+3sqrt(6)i,x=6-3sqrt(6)i

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- 3 x^{2} - 60 x + 450 = - 8 x^{2}

x = 6 + 36 i, x = 6 - 36 i

Solution steps

- 3 x^{2} - 60 x + 450 = - 8 x^{2}

Move

8 x^{2}

to the left side

5 x^{2} - 60 x + 450 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 \cdot 5 \cdot 450}{2 \cdot 5}

Simplify

(- 60)^{2} - 4 \cdot 5 \cdot 450 : 306 i

x_{1, 2} = \frac{- ( - 60 ) \pm 30 6 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 60 ) + 30 6 i}{2 \cdot 5}, x_{2} = \frac{- ( - 60 ) - 30 6 i}{2 \cdot 5}

x = \frac{- ( - 60 ) + 30 6 i}{2 \cdot 5} : 6 + 36 i

x = \frac{- ( - 60 ) - 30 6 i}{2 \cdot 5} : 6 - 36 i

The solutions to the quadratic equation are:

x = 6 + 36 i, x = 6 - 36 i

(x - 5) (40 - x) = 4 (45 - x)

12 z^{2} + 7 z - 10 = - 6

2 (x^{2} - 2 x) + 13 = - 7

y, x = y - y^{2}

- 2 a \cdot 3 a = 25

What are the solutions to the equation -3x^2-60x+450=-8x^2 ?
The solutions to the equation -3x^2-60x+450=-8x^2 are x=6+3sqrt(6)i,x=6-3sqrt(6)i
Find the zeros of -3x^2-60x+450=-8x^2
The zeros of -3x^2-60x+450=-8x^2 are x=6+3sqrt(6)i,x=6-3sqrt(6)i