What are the solutions to the equation x^2-8=6x ?

The solutions to the equation x^2-8=6x are x=3+sqrt(17),x=3-sqrt(17)

Find the zeros of x^2-8=6x

The zeros of x^2-8=6x are x=3+sqrt(17),x=3-sqrt(17)

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x^{2} - 8 = 6 x

x = 3 + 17, x = 3 - 17

Decimal Notation

x = 7.12310 \dots, x = - 1.12310 \dots

Solution steps

x^{2} - 8 = 6 x

Move

6 x

to the left side

x^{2} - 8 - 6 x = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} - 6 x - 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 8 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 8) = 217

x_{1, 2} = \frac{- ( - 6 ) \pm 2 17}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 2 17}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 2 17}{2 \cdot 1}

x = \frac{- ( - 6 ) + 2 17}{2 \cdot 1} : 3 + 17

x = \frac{- ( - 6 ) - 2 17}{2 \cdot 1} : 3 - 17

The solutions to the quadratic equation are:

x = 3 + 17, x = 3 - 17

- 3 = 7 (y - \frac{9}{7})

30 w^{3} + 85 w^{2} - 70 w

(\frac{1}{3})^{1}

s^{2} + 8 s + 12 = 0

3 x^{2} - 6 x - 18 = 0

What are the solutions to the equation x^2-8=6x ?
The solutions to the equation x^2-8=6x are x=3+sqrt(17),x=3-sqrt(17)
Find the zeros of x^2-8=6x
The zeros of x^2-8=6x are x=3+sqrt(17),x=3-sqrt(17)