What are the solutions to the equation (k-13)^2-324=0 ?

The solutions to the equation (k-13)^2-324=0 are k=31,k=-5

Find the zeros of (k-13)^2-324=0

The zeros of (k-13)^2-324=0 are k=31,k=-5

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(k - 13)^{2} - 324 = 0

k = 31, k = - 5

Solution steps

(k - 13)^{2} - 324 = 0

Move

324

to the right side

(k - 13)^{2} = 324

For

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

the solutions are

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

Solve

k - 13 = 324 : k = 31

Solve

k - 13 = - 324 : k = - 5

The solutions to the quadratic equation are:

k = 31, k = - 5

11 x^{2} - 12 x + 1 = 0

x^{2} + 20 x - 200 = 0

3 x^{2} - 2 x - 1 = 0

5 x^{2} + 4 x = 3

5 x^{2} + 4 x = 4

What are the solutions to the equation (k-13)^2-324=0 ?
The solutions to the equation (k-13)^2-324=0 are k=31,k=-5
Find the zeros of (k-13)^2-324=0
The zeros of (k-13)^2-324=0 are k=31,k=-5