What are the solutions to the equation (x-2)^2-49=0 ?

The solutions to the equation (x-2)^2-49=0 are x=9,x=-5

Find the zeros of (x-2)^2-49=0

The zeros of (x-2)^2-49=0 are x=9,x=-5

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(x - 2)^{2} - 49 = 0

x = 9, x = - 5

Solution steps

(x - 2)^{2} - 49 = 0

Move

49

to the right side

(x - 2)^{2} = 49

For

(g (x))^{2} = f (a)

the solutions are

g (x) = f (a), - f (a)

Solve

x - 2 = 49 : x = 9

Solve

x - 2 = - 49 : x = - 5

The solutions to the quadratic equation are:

x = 9, x = - 5

3 x^{2} + 8 x = - 5

(x - 1)^{2} = 3 - x

x^{2} - \frac{3}{2} x - 10 = 0

3 x^{2} - 5 x + 30 = 0

x = 2 x - x^{2}

What are the solutions to the equation (x-2)^2-49=0 ?
The solutions to the equation (x-2)^2-49=0 are x=9,x=-5
Find the zeros of (x-2)^2-49=0
The zeros of (x-2)^2-49=0 are x=9,x=-5