What are the solutions to the equation x^2-6x=14 ?

The solutions to the equation x^2-6x=14 are x=3+sqrt(23),x=3-sqrt(23)

Find the zeros of x^2-6x=14

The zeros of x^2-6x=14 are x=3+sqrt(23),x=3-sqrt(23)

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x^{2} - 6 x = 14

x = 3 + 23, x = 3 - 23

Decimal Notation

x = 7.79583 \dots, x = - 1.79583 \dots

Solution steps

x^{2} - 6 x = 14

Move

14

to the left side

x^{2} - 6 x - 14 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 14 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 14) = 223

x_{1, 2} = \frac{- ( - 6 ) \pm 2 23}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 2 23}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 2 23}{2 \cdot 1}

x = \frac{- ( - 6 ) + 2 23}{2 \cdot 1} : 3 + 23

x = \frac{- ( - 6 ) - 2 23}{2 \cdot 1} : 3 - 23

The solutions to the quadratic equation are:

x = 3 + 23, x = 3 - 23

\frac{64}{16}

x^{2} - 210 x = 0

\frac{2}{4 - 5 i}

(7 x^{4})^{2}

\frac{1 + x}{1 - 2 x} > 1 - x

What are the solutions to the equation x^2-6x=14 ?
The solutions to the equation x^2-6x=14 are x=3+sqrt(23),x=3-sqrt(23)
Find the zeros of x^2-6x=14
The zeros of x^2-6x=14 are x=3+sqrt(23),x=3-sqrt(23)