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

The solutions to the equation x^2+6=8x are x=4+sqrt(10),x=4-sqrt(10)

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

The zeros of x^2+6=8x are x=4+sqrt(10),x=4-sqrt(10)

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x^{2} + 6 = 8 x

x = 4 + 10, x = 4 - 10

Decimal Notation

x = 7.16227 \dots, x = 0.83772 \dots

Solution steps

x^{2} + 6 = 8 x

Move

8 x

to the left side

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

Write in the standard form

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

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 = 210

x_{1, 2} = \frac{- ( - 8 ) \pm 2 10}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 10}{2 \cdot 1}, x_{2} = \frac{- ( - 8 ) - 2 10}{2 \cdot 1}

x = \frac{- ( - 8 ) + 2 10}{2 \cdot 1} : 4 + 10

x = \frac{- ( - 8 ) - 2 10}{2 \cdot 1} : 4 - 10

The solutions to the quadratic equation are:

x = 4 + 10, x = 4 - 10

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

9 x^{2} + 18 x - 27 = 0

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

(x - 4)^{2} = 180

x^{2} - 3 x - 4

What are the solutions to the equation x^2+6=8x ?
The solutions to the equation x^2+6=8x are x=4+sqrt(10),x=4-sqrt(10)
Find the zeros of x^2+6=8x
The zeros of x^2+6=8x are x=4+sqrt(10),x=4-sqrt(10)