What are the solutions to the equation completesquare x^2-7x-3 ?

The solutions to the equation completesquare x^2-7x-3 are (x-7/2)^2-61/4

Find the zeros of completesquare x^2-7x-3

The zeros of completesquare x^2-7x-3 are (x-7/2)^2-61/4

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complete the square

x^{2} - 7 x - 3

(x - \frac{7}{2})^{2} - \frac{61}{4}

Solution steps

x^{2} - 7 x - 3

Write

x^{2} - 7 x - 3

in the form:

x^{2} + 2 a x + a^{2}

2 a = - 7 : a = - \frac{7}{2}

Add and subtract

(- \frac{7}{2})^{2}

x^{2} - 7 x - 3 + (- \frac{7}{2})^{2} - (- \frac{7}{2})^{2}

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} - 7 x + (- \frac{7}{2})^{2} = (x - \frac{7}{2})^{2}

(x - \frac{7}{2})^{2} - 3 - (- \frac{7}{2})^{2}

Simplify

(x - \frac{7}{2})^{2} - \frac{61}{4}

3 v^{2} + 17 v + 17 = - 2

5 x^{2} = 100 x

3 x^{2} + 7 = - 8 x + 3

2 (2 x - 5) = - 4 x (x - 1)

3 x^{2} + 5 x + 3

What are the solutions to the equation completesquare x^2-7x-3 ?
The solutions to the equation completesquare x^2-7x-3 are (x-7/2)^2-61/4
Find the zeros of completesquare x^2-7x-3
The zeros of completesquare x^2-7x-3 are (x-7/2)^2-61/4