What are the solutions to the equation completesquare x^2-51=14x ?

The solutions to the equation completesquare x^2-51=14x are x=17,x=-3

Find the zeros of completesquare x^2-51=14x

The zeros of completesquare x^2-51=14x are x=17,x=-3

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x^{2} - 51 = 14 x

x = 17, x = - 3

Solution steps

x^{2} - 51 = 14 x

Move

51

to the right side

x^{2} = 14 x + 51

Move

14 x

to the left side

x^{2} - 14 x = 51

Rewrite in the form

(x + a)^{2} = b

(x - 7)^{2} = 100

For

the solutions are

f (x) = a, - a

Solve

x - 7 = 100 : x = 17

Solve

x - 7 = - 100 : x = - 3

The solutions to the quadratic equation are:

x = 17, x = - 3

x^{2} + 20 x + 28 = 0

x (4 x + 7) = 2

2 x^{2} + 30 = 16 x

4 - x^{2} = 1 - \frac{1}{4} x^{2}

x^{2} = 15 x - 54

What are the solutions to the equation completesquare x^2-51=14x ?
The solutions to the equation completesquare x^2-51=14x are x=17,x=-3
Find the zeros of completesquare x^2-51=14x
The zeros of completesquare x^2-51=14x are x=17,x=-3