What are the solutions to the equation 3x^2-36x=-111 ?

The solutions to the equation 3x^2-36x=-111 are x=6+i,x=6-i

Find the zeros of 3x^2-36x=-111

The zeros of 3x^2-36x=-111 are x=6+i,x=6-i

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3 x^{2} - 36 x = - 111

x = 6 + i, x = 6 - i

Solution steps

3 x^{2} - 36 x = - 111

Move

111

to the left side

3 x^{2} - 36 x + 111 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 36 ) \pm ( - 36 ) ^{2} - 4 \cdot 3 \cdot 111}{2 \cdot 3}

Simplify

(- 36)^{2} - 4 \cdot 3 \cdot 111 : 6 i

x_{1, 2} = \frac{- ( - 36 ) \pm 6 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 36 ) + 6 i}{2 \cdot 3}, x_{2} = \frac{- ( - 36 ) - 6 i}{2 \cdot 3}

x = \frac{- ( - 36 ) + 6 i}{2 \cdot 3} : 6 + i

x = \frac{- ( - 36 ) - 6 i}{2 \cdot 3} : 6 - i

The solutions to the quadratic equation are:

x = 6 + i, x = 6 - i

5 x^{2} - 4 - x^{4}

0 = - 16 t^{2} + 48 t - 32

- (5)^{0}

19 = 5 - ∣ x - 3 ∣

4 b 2 - c 2 + c d - d 2

What are the solutions to the equation 3x^2-36x=-111 ?
The solutions to the equation 3x^2-36x=-111 are x=6+i,x=6-i
Find the zeros of 3x^2-36x=-111
The zeros of 3x^2-36x=-111 are x=6+i,x=6-i