What are the solutions to the equation completesquare x^2-8x+c ?

The solutions to the equation completesquare x^2-8x+c are (x-4)^2+c-16

Find the zeros of completesquare x^2-8x+c

The zeros of completesquare x^2-8x+c are (x-4)^2+c-16

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complete the square

x^{2} - 8 x + c

(x - 4)^{2} + c - 16

Solution steps

x^{2} - 8 x + c

Complete the square using the formula:

a x^{2} + b x + c = (a x + \frac{b}{2 a})^{2} + c - \frac{b ^{2}}{4 a}

a = 1, b = - 8, c = c

(1 x + \frac{( - 8 )}{2 1})^{2} + c - \frac{( - 8 ) ^{2}}{4 \cdot 1}

Refine

(x - 4)^{2} + c - 16

3 x^{2} - 9 x + 4 = 0

\frac{3 ( x ^{2} + 6 )}{2} = 1

4 x^{2} + 16 x + 1 = 0

(1 - 3) x^{2} + 3 x - 4 = 0

3 x^{2} - 20 x - 30 = 0

What are the solutions to the equation completesquare x^2-8x+c ?
The solutions to the equation completesquare x^2-8x+c are (x-4)^2+c-16
Find the zeros of completesquare x^2-8x+c
The zeros of completesquare x^2-8x+c are (x-4)^2+c-16