What are the solutions to the equation 9x^2+36x+11=0 ?

The solutions to the equation 9x^2+36x+11=0 are x=-1/3 ,x=-11/3

Find the zeros of 9x^2+36x+11=0

The zeros of 9x^2+36x+11=0 are x=-1/3 ,x=-11/3

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9 x^{2} + 36 x + 11 = 0

x = - \frac{1}{3}, x = - \frac{11}{3}

Decimal Notation

x = - 0.33333 \dots, x = - 3.66666 \dots

Solution steps

9 x^{2} + 36 x + 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 36 \pm 3 6 ^{2} - 4 \cdot 9 \cdot 11}{2 \cdot 9}

3 6^{2} - 4 \cdot 9 \cdot 11 = 30

x_{1, 2} = \frac{- 36 \pm 30}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- 36 + 30}{2 \cdot 9}, x_{2} = \frac{- 36 - 30}{2 \cdot 9}

x = \frac{- 36 + 30}{2 \cdot 9} : - \frac{1}{3}

x = \frac{- 36 - 30}{2 \cdot 9} : - \frac{11}{3}

The solutions to the quadratic equation are:

x = - \frac{1}{3}, x = - \frac{11}{3}

9000 + 25 x + \frac{1}{2} x^{2} = (255 - \frac{1}{2} x) x

21 x^{2} + 95 = 0

(2 x - 6) (x - 4) (4) = 72

x^{2} + 32 x + 256 = 0

0 = - x^{2} + 4 x - 3

What are the solutions to the equation 9x^2+36x+11=0 ?
The solutions to the equation 9x^2+36x+11=0 are x=-1/3 ,x=-11/3
Find the zeros of 9x^2+36x+11=0
The zeros of 9x^2+36x+11=0 are x=-1/3 ,x=-11/3