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

The solutions to the equation x^2-8x=-2 are x=4+sqrt(14),x=4-sqrt(14)

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

The zeros of x^2-8x=-2 are x=4+sqrt(14),x=4-sqrt(14)

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x^{2} - 8 x = - 2

x = 4 + 14, x = 4 - 14

Decimal Notation

x = 7.74165 \dots, x = 0.25834 \dots

Solution steps

x^{2} - 8 x = - 2

Move

2

to the left side

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

Solve with the quadratic formula

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

(- 8)^{2} - 4 \cdot 1 \cdot 2 = 214

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

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 14}{2 \cdot 1}, x_{2} = \frac{- ( - 8 ) - 2 14}{2 \cdot 1}

x = \frac{- ( - 8 ) + 2 14}{2 \cdot 1} : 4 + 14

x = \frac{- ( - 8 ) - 2 14}{2 \cdot 1} : 4 - 14

The solutions to the quadratic equation are:

x = 4 + 14, x = 4 - 14

(x - 150)^{2} + 16

2 x^{2} - x = 120

x^{2} - 9 x - 20 = - 2 x - 2

(y + 14)^{2} + y^{2} - 25 = 0

y, x^{2} + y^{2} = - 5

What are the solutions to the equation x^2-8x=-2 ?
The solutions to the equation x^2-8x=-2 are x=4+sqrt(14),x=4-sqrt(14)
Find the zeros of x^2-8x=-2
The zeros of x^2-8x=-2 are x=4+sqrt(14),x=4-sqrt(14)