What are the solutions to the equation x^2-11x=6 ?

The solutions to the equation x^2-11x=6 are x=(11+sqrt(145))/2 ,x=(11-sqrt(145))/2

Find the zeros of x^2-11x=6

The zeros of x^2-11x=6 are x=(11+sqrt(145))/2 ,x=(11-sqrt(145))/2

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x^{2} - 11 x = 6

x = \frac{11 + 145}{2}, x = \frac{11 - 145}{2}

Decimal Notation

x = 11.52079 \dots, x = - 0.52079 \dots

Solution steps

x^{2} - 11 x = 6

Move

6

to the left side

x^{2} - 11 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 1 \cdot ( - 6 )}{2 \cdot 1}

(- 11)^{2} - 4 \cdot 1 \cdot (- 6) = 145

x_{1, 2} = \frac{- ( - 11 ) \pm 145}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 145}{2 \cdot 1}, x_{2} = \frac{- ( - 11 ) - 145}{2 \cdot 1}

x = \frac{- ( - 11 ) + 145}{2 \cdot 1} : \frac{11 + 145}{2}

x = \frac{- ( - 11 ) - 145}{2 \cdot 1} : \frac{11 - 145}{2}

The solutions to the quadratic equation are:

x = \frac{11 + 145}{2}, x = \frac{11 - 145}{2}

2 5^{\frac{1}{2}}

\frac{- 7 m ^{2}}{2 m + 1} - \frac{11}{16 m - 8}

5117

\frac{10}{30} \cdot 100

8 - 3 x \leq - (3 x - 8)

What are the solutions to the equation x^2-11x=6 ?
The solutions to the equation x^2-11x=6 are x=(11+sqrt(145))/2 ,x=(11-sqrt(145))/2
Find the zeros of x^2-11x=6
The zeros of x^2-11x=6 are x=(11+sqrt(145))/2 ,x=(11-sqrt(145))/2