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

The solutions to the equation x^2-8x=6 are x=4+sqrt(22),x=4-sqrt(22)

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

The zeros of x^2-8x=6 are x=4+sqrt(22),x=4-sqrt(22)

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x^{2} - 8 x = 6

x = 4 + 22, x = 4 - 22

Decimal Notation

x = 8.69041 \dots, x = - 0.69041 \dots

Solution steps

x^{2} - 8 x = 6

Move

6

to the left side

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

Solve with the quadratic formula

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

(- 8)^{2} - 4 \cdot 1 \cdot (- 6) = 222

x_{1, 2} = \frac{- ( - 8 ) \pm 2 22}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 22}{2 \cdot 1}, x_{2} = \frac{- ( - 8 ) - 2 22}{2 \cdot 1}

x = \frac{- ( - 8 ) + 2 22}{2 \cdot 1} : 4 + 22

x = \frac{- ( - 8 ) - 2 22}{2 \cdot 1} : 4 - 22

The solutions to the quadratic equation are:

x = 4 + 22, x = 4 - 22

\frac{3}{5} + \frac{7}{3} + \frac{1}{2}

- \frac{1}{2} < \frac{2 x + 3}{5} < \frac{3}{2}

11 x^{2} + 55 x = 0

\frac{1}{2} r - 3 = 3 (4 - \frac{3}{2} r)

What are the solutions to the equation x^2-8x=6 ?
The solutions to the equation x^2-8x=6 are x=4+sqrt(22),x=4-sqrt(22)
Find the zeros of x^2-8x=6
The zeros of x^2-8x=6 are x=4+sqrt(22),x=4-sqrt(22)