What are the solutions to the equation completesquare a^2+14a-51=0 ?

The solutions to the equation completesquare a^2+14a-51=0 are a=3,a=-17

Find the zeros of completesquare a^2+14a-51=0

The zeros of completesquare a^2+14a-51=0 are a=3,a=-17

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a^{2} + 14 a - 51 = 0

a = 3, a = - 17

Solution steps

a^{2} + 14 a - 51 = 0

Move

51

to the right side

a^{2} + 14 a = 51

Rewrite in the form

(x + b)^{2} = b

(a + 7)^{2} = 100

For

the solutions are

f (x) = a, - a

Solve

a + 7 = 100 : a = 3

Solve

a + 7 = - 100 : a = - 17

The solutions to the quadratic equation are:

a = 3, a = - 17

t^{2} = 10

x^{2} - 100 x + 2400 = 0

x^{2} - 14 x - 24 = 0

\frac{1}{6} x^{2} + x = 0

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

What are the solutions to the equation completesquare a^2+14a-51=0 ?
The solutions to the equation completesquare a^2+14a-51=0 are a=3,a=-17
Find the zeros of completesquare a^2+14a-51=0
The zeros of completesquare a^2+14a-51=0 are a=3,a=-17