What are the solutions to the equation x^2-7x=x-14 ?

The solutions to the equation x^2-7x=x-14 are x=4+sqrt(2),x=4-sqrt(2)

Find the zeros of x^2-7x=x-14

The zeros of x^2-7x=x-14 are x=4+sqrt(2),x=4-sqrt(2)

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x^{2} - 7 x = x - 14

x = 4 + 2, x = 4 - 2

Decimal Notation

x = 5.41421 \dots, x = 2.58578 \dots

Solution steps

x^{2} - 7 x = x - 14

Move

14

to the left side

x^{2} - 7 x + 14 = x

Move

x

to the left side

x^{2} - 8 x + 14 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 1 \cdot 14}{2 \cdot 1}

(- 8)^{2} - 4 \cdot 1 \cdot 14 = 22

x_{1, 2} = \frac{- ( - 8 ) \pm 2 2}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 2}{2 \cdot 1}, x_{2} = \frac{- ( - 8 ) - 2 2}{2 \cdot 1}

x = \frac{- ( - 8 ) + 2 2}{2 \cdot 1} : 4 + 2

x = \frac{- ( - 8 ) - 2 2}{2 \cdot 1} : 4 - 2

The solutions to the quadratic equation are:

x = 4 + 2, x = 4 - 2

\frac{4}{16}

(\frac{x}{7})^{2}

15 x^{2} - 2 x - 1 = 0

\frac{- e ^{6}}{e ^{3} - e ^{6}}

x^{2} y + x^{2} z

What are the solutions to the equation x^2-7x=x-14 ?
The solutions to the equation x^2-7x=x-14 are x=4+sqrt(2),x=4-sqrt(2)
Find the zeros of x^2-7x=x-14
The zeros of x^2-7x=x-14 are x=4+sqrt(2),x=4-sqrt(2)