What are the solutions to the equation completesquare u^2+2u-1=0 ?

The solutions to the equation completesquare u^2+2u-1=0 are u=sqrt(2)-1,u=-sqrt(2)-1

Find the zeros of completesquare u^2+2u-1=0

The zeros of completesquare u^2+2u-1=0 are u=sqrt(2)-1,u=-sqrt(2)-1

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u^{2} + 2 u - 1 = 0

u = 2 - 1, u = - 2 - 1

Decimal Notation

u = 0.41421 \dots, u = - 2.41421 \dots

Solution steps

u^{2} + 2 u - 1 = 0

Move

1

to the right side

u^{2} + 2 u = 1

Rewrite in the form

(x + a)^{2} = b

(u + 1)^{2} = 2

For

the solutions are

f (x) = a, - a

Solve

u + 1 = 2 : u = 2 - 1

Solve

u + 1 = - 2 : u = - 2 - 1

The solutions to the quadratic equation are:

u = 2 - 1, u = - 2 - 1

- 7 x^{2} + 4 x + 6 = 0

z^{2} - 7 z - 8 = 0

464 x^{2} - 368 x + 5376 = 0

5 x^{2} - 2 x + 7 = 0

4 x^{2} + 4 x - 3 = 0

What are the solutions to the equation completesquare u^2+2u-1=0 ?
The solutions to the equation completesquare u^2+2u-1=0 are u=sqrt(2)-1,u=-sqrt(2)-1
Find the zeros of completesquare u^2+2u-1=0
The zeros of completesquare u^2+2u-1=0 are u=sqrt(2)-1,u=-sqrt(2)-1