What are the solutions to the equation x^2-6x=-1 ?

The solutions to the equation x^2-6x=-1 are x=3+2sqrt(2),x=3-2sqrt(2)

Find the zeros of x^2-6x=-1

The zeros of x^2-6x=-1 are x=3+2sqrt(2),x=3-2sqrt(2)

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x^{2} - 6 x = - 1

x = 3 + 22, x = 3 - 22

Decimal Notation

x = 5.82842 \dots, x = 0.17157 \dots

Solution steps

x^{2} - 6 x = - 1

Move

1

to the left side

x^{2} - 6 x + 1 = 0

Solve with the quadratic formula

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

(- 6)^{2} - 4 \cdot 1 \cdot 1 = 42

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

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 4 2}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 4 2}{2 \cdot 1}

x = \frac{- ( - 6 ) + 4 2}{2 \cdot 1} : 3 + 22

x = \frac{- ( - 6 ) - 4 2}{2 \cdot 1} : 3 - 22

The solutions to the quadratic equation are:

x = 3 + 22, x = 3 - 22

- 4 (3 - x) = \frac{4}{5} (x + 5)

π - \frac{π}{3}

- 4 \cdot (2 x - 1) + 5 = 3 x - 6 \cdot (x - 2)

\frac{8 x ^{5} y ^{6}}{8 x ^{2} y}

144 c^{2} - 25

What are the solutions to the equation x^2-6x=-1 ?
The solutions to the equation x^2-6x=-1 are x=3+2sqrt(2),x=3-2sqrt(2)
Find the zeros of x^2-6x=-1
The zeros of x^2-6x=-1 are x=3+2sqrt(2),x=3-2sqrt(2)