What are the solutions to the equation 3x^2+66x=-87 ?

The solutions to the equation 3x^2+66x=-87 are x=-11+2sqrt(23),x=-11-2sqrt(23)

Find the zeros of 3x^2+66x=-87

The zeros of 3x^2+66x=-87 are x=-11+2sqrt(23),x=-11-2sqrt(23)

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3 x^{2} + 66 x = - 87

x = - 11 + 223, x = - 11 - 223

Decimal Notation

x = - 1.40833 \dots, x = - 20.59166 \dots

Solution steps

3 x^{2} + 66 x = - 87

Move

87

to the left side

3 x^{2} + 66 x + 87 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 66 \pm 6 6 ^{2} - 4 \cdot 3 \cdot 87}{2 \cdot 3}

6 6^{2} - 4 \cdot 3 \cdot 87 = 1223

x_{1, 2} = \frac{- 66 \pm 12 23}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 66 + 12 23}{2 \cdot 3}, x_{2} = \frac{- 66 - 12 23}{2 \cdot 3}

x = \frac{- 66 + 12 23}{2 \cdot 3} : - 11 + 223

x = \frac{- 66 - 12 23}{2 \cdot 3} : - 11 - 223

The solutions to the quadratic equation are:

x = - 11 + 223, x = - 11 - 223

3 x + 4 = x + 6

\frac{3}{5} (5)

x^{3} - 6 x^{2} + 3 x + 10

1^{2} + 2^{2}

(\frac{1}{4})^{0}

What are the solutions to the equation 3x^2+66x=-87 ?
The solutions to the equation 3x^2+66x=-87 are x=-11+2sqrt(23),x=-11-2sqrt(23)
Find the zeros of 3x^2+66x=-87
The zeros of 3x^2+66x=-87 are x=-11+2sqrt(23),x=-11-2sqrt(23)