What are the solutions to the equation x^2+12/11 x+35/121 =0 ?

The solutions to the equation x^2+12/11 x+35/121 =0 are x=-5/11 ,x=-7/11

Find the zeros of x^2+12/11 x+35/121 =0

The zeros of x^2+12/11 x+35/121 =0 are x=-5/11 ,x=-7/11

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x^{2} + \frac{12}{11} x + \frac{35}{121} = 0

x = - \frac{5}{11}, x = - \frac{7}{11}

Decimal Notation

x = - 0.45454 \dots, x = - 0.63636 \dots

Solution steps

x^{2} + \frac{12}{11} x + \frac{35}{121} = 0

Find Least Common Multiplier of

11, 121 : 121

Multiply by LCM=

121

x^{2} \cdot 121 + \frac{12}{11} x \cdot 121 + \frac{35}{121} \cdot 121 = 0 \cdot 121

Simplify

121 x^{2} + 132 x + 35 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 132 \pm 13 2 ^{2} - 4 \cdot 121 \cdot 35}{2 \cdot 121}

13 2^{2} - 4 \cdot 121 \cdot 35 = 22

x_{1, 2} = \frac{- 132 \pm 22}{2 \cdot 121}

Separate the solutions

x_{1} = \frac{- 132 + 22}{2 \cdot 121}, x_{2} = \frac{- 132 - 22}{2 \cdot 121}

x = \frac{- 132 + 22}{2 \cdot 121} : - \frac{5}{11}

x = \frac{- 132 - 22}{2 \cdot 121} : - \frac{7}{11}

The solutions to the quadratic equation are:

x = - \frac{5}{11}, x = - \frac{7}{11}

3 x^{2} - 4 x + 11 = 0

10 x^{2} + 29 x - 21

m^{- 2} \cdot n^{3}

z^{2} + 3 z - 10 = 0

\frac{2 a + 3 c}{2 a + c} - \frac{2 b - 3 a}{3 a + b} - \frac{2 c ( 3 a + b )}{6 a ^{2} + 2 ab + 3 a c + b c}

What are the solutions to the equation x^2+12/11 x+35/121 =0 ?
The solutions to the equation x^2+12/11 x+35/121 =0 are x=-5/11 ,x=-7/11
Find the zeros of x^2+12/11 x+35/121 =0
The zeros of x^2+12/11 x+35/121 =0 are x=-5/11 ,x=-7/11