What are the solutions to the equation ((x^2-1))/2-11x=11 ?

The solutions to the equation ((x^2-1))/2-11x=11 are x=23,x=-1

Find the zeros of ((x^2-1))/2-11x=11

The zeros of ((x^2-1))/2-11x=11 are x=23,x=-1

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\frac{( x ^{2} - 1 )}{2} - 11 x = 11

x = 23, x = - 1

Solution steps

\frac{( x ^{2} - 1 )}{2} - 11 x = 11

Multiply both sides by

2

x^{2} - 1 - 22 x = 22

Move

22

to the left side

x^{2} - 22 x - 23 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 22 ) \pm ( - 22 ) ^{2} - 4 \cdot 1 \cdot ( - 23 )}{2 \cdot 1}

(- 22)^{2} - 4 \cdot 1 \cdot (- 23) = 24

x_{1, 2} = \frac{- ( - 22 ) \pm 24}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 22 ) + 24}{2 \cdot 1}, x_{2} = \frac{- ( - 22 ) - 24}{2 \cdot 1}

x = \frac{- ( - 22 ) + 24}{2 \cdot 1} : 23

x = \frac{- ( - 22 ) - 24}{2 \cdot 1} : - 1

The solutions to the quadratic equation are:

x = 23, x = - 1

3 s = \frac{14}{3}

5 a^{2} - 45

v^{2} + 7 = 8 v

5 n^{2} + 9 n - 69 = 11

\frac{2 x}{4} = \frac{1 + x}{6}

What are the solutions to the equation ((x^2-1))/2-11x=11 ?
The solutions to the equation ((x^2-1))/2-11x=11 are x=23,x=-1
Find the zeros of ((x^2-1))/2-11x=11
The zeros of ((x^2-1))/2-11x=11 are x=23,x=-1