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

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

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

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

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x^{2} - 6 x = 8

x = 3 + 17, x = 3 - 17

Decimal Notation

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

Solution steps

x^{2} - 6 x = 8

Move

8

to the left side

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

\frac{3}{2} (6)

4 x + 2 = - 14

- 5 (3 x + 2) = 2 + x

2 \cdot 4

∣ x + 1 ∣ \geq ∣ x ∣

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