What are the solutions to the equation 36x^2-24x=-85 ?

The solutions to the equation 36x^2-24x=-85 are x= 1/3+i 3/2 ,x= 1/3-i 3/2

Find the zeros of 36x^2-24x=-85

The zeros of 36x^2-24x=-85 are x= 1/3+i 3/2 ,x= 1/3-i 3/2

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36 x^{2} - 24 x = - 85

x = \frac{1}{3} + i \frac{3}{2}, x = \frac{1}{3} - i \frac{3}{2}

Solution steps

36 x^{2} - 24 x = - 85

Move

85

to the left side

36 x^{2} - 24 x + 85 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 36 \cdot 85}{2 \cdot 36}

Simplify

(- 24)^{2} - 4 \cdot 36 \cdot 85 : 108 i

x_{1, 2} = \frac{- ( - 24 ) \pm 108 i}{2 \cdot 36}

Separate the solutions

x_{1} = \frac{- ( - 24 ) + 108 i}{2 \cdot 36}, x_{2} = \frac{- ( - 24 ) - 108 i}{2 \cdot 36}

x = \frac{- ( - 24 ) + 108 i}{2 \cdot 36} : \frac{1}{3} + i \frac{3}{2}

x = \frac{- ( - 24 ) - 108 i}{2 \cdot 36} : \frac{1}{3} - i \frac{3}{2}

The solutions to the quadratic equation are:

x = \frac{1}{3} + i \frac{3}{2}, x = \frac{1}{3} - i \frac{3}{2}

7 x^{2} - 13 + 6 = 0

2 x^{2} - 4 x + 5

x^{2} + 4 x = x + 10

x^{2} + 5 x + 9 = 0

x^{2} + 6 x + 13

What are the solutions to the equation 36x^2-24x=-85 ?
The solutions to the equation 36x^2-24x=-85 are x= 1/3+i 3/2 ,x= 1/3-i 3/2
Find the zeros of 36x^2-24x=-85
The zeros of 36x^2-24x=-85 are x= 1/3+i 3/2 ,x= 1/3-i 3/2