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

The solutions to the equation completesquare a^2-7a are (a-7/2)^2-49/4

Find the zeros of completesquare a^2-7a

The zeros of completesquare a^2-7a are (a-7/2)^2-49/4

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complete the square

a^{2} - 7 a

(a - \frac{7}{2})^{2} - \frac{49}{4}

Solution steps

a^{2} - 7 a

Write

a^{2} - 7 a

in the form:

x^{2} + 2 b x + b^{2}

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

Add and subtract

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

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

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

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

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

Simplify

(a - \frac{7}{2})^{2} - \frac{49}{4}

4 x^{2} - 8 x = 52

9 x^{2} + 8 x - 5 = 3 x^{2}

y, x^{3} y^{2} - 6 x^{2} = 3 y^{2} - 9 x

1 0^{2} = x^{2} + (x + 2)^{2}

3 x^{2} + 12 x + 10 = 0

What are the solutions to the equation completesquare a^2-7a ?
The solutions to the equation completesquare a^2-7a are (a-7/2)^2-49/4
Find the zeros of completesquare a^2-7a
The zeros of completesquare a^2-7a are (a-7/2)^2-49/4