What are the solutions to the equation x^2-1/5 x-11/5 =0 ?

The solutions to the equation x^2-1/5 x-11/5 =0 are x=(1+sqrt(221))/(10),x=(1-sqrt(221))/(10)

Find the zeros of x^2-1/5 x-11/5 =0

The zeros of x^2-1/5 x-11/5 =0 are x=(1+sqrt(221))/(10),x=(1-sqrt(221))/(10)

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x^{2} - \frac{1}{5} x - \frac{11}{5} = 0

x = \frac{1 + 221}{10}, x = \frac{1 - 221}{10}

Decimal Notation

x = 1.58660 \dots, x = - 1.38660 \dots

Solution steps

x^{2} - \frac{1}{5} x - \frac{11}{5} = 0

Multiply both sides by

5

5 x^{2} - x - 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 5 ( - 11 )}{2 \cdot 5}

(- 1)^{2} - 4 \cdot 5 (- 11) = 221

x_{1, 2} = \frac{- ( - 1 ) \pm 221}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 221}{2 \cdot 5}, x_{2} = \frac{- ( - 1 ) - 221}{2 \cdot 5}

x = \frac{- ( - 1 ) + 221}{2 \cdot 5} : \frac{1 + 221}{10}

x = \frac{- ( - 1 ) - 221}{2 \cdot 5} : \frac{1 - 221}{10}

The solutions to the quadratic equation are:

x = \frac{1 + 221}{10}, x = \frac{1 - 221}{10}

x, x^{2} + y^{2} + 14 x + 14 y + 98 = 0

x^{2} + 4 x = - 13

2 (x - 3)^{2} + 7 = 19

- 2 x^{2} - 4 x = - 30

9 p^{2} + 6 p + 1 = 0

What are the solutions to the equation x^2-1/5 x-11/5 =0 ?
The solutions to the equation x^2-1/5 x-11/5 =0 are x=(1+sqrt(221))/(10),x=(1-sqrt(221))/(10)
Find the zeros of x^2-1/5 x-11/5 =0
The zeros of x^2-1/5 x-11/5 =0 are x=(1+sqrt(221))/(10),x=(1-sqrt(221))/(10)