What are the solutions to the equation completesquare x^2=6x+1 ?

The solutions to the equation completesquare x^2=6x+1 are x=sqrt(10)+3,x=-sqrt(10)+3

Find the zeros of completesquare x^2=6x+1

The zeros of completesquare x^2=6x+1 are x=sqrt(10)+3,x=-sqrt(10)+3

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x^{2} = 6 x + 1

x = 10 + 3, x = - 10 + 3

Decimal

x = 6.16227 \dots, x = - 0.16227 \dots

Solution steps

x^{2} = 6 x + 1

Move

6 x

to the left side

x^{2} - 6 x = 1

Rewrite in the form

(x + a)^{2} = b

(x - 3)^{2} = 10

For

the solutions are

f (x) = a, - a

Solve

x - 3 = 10 : x = 10 + 3

Solve

x - 3 = - 10 : x = - 10 + 3

The solutions to the quadratic equation are:

x = 10 + 3, x = - 10 + 3

r^{2} - 9

x^{2} - 2 x + 1 = 144

x^{2} + 0.48 x - 0.0276 = 0

x^{2} - 1600 x + 3400 = 0

3 x^{2} = - 5 x - 2

What are the solutions to the equation completesquare x^2=6x+1 ?
The solutions to the equation completesquare x^2=6x+1 are x=sqrt(10)+3,x=-sqrt(10)+3
Find the zeros of completesquare x^2=6x+1
The zeros of completesquare x^2=6x+1 are x=sqrt(10)+3,x=-sqrt(10)+3