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

The solutions to the equation completesquare m^2-3m are (m-3/2)^2-9/4

Find the zeros of completesquare m^2-3m

The zeros of completesquare m^2-3m are (m-3/2)^2-9/4

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complete the square

m^{2} - 3 m

(m - \frac{3}{2})^{2} - \frac{9}{4}

Solution steps

m^{2} - 3 m

Write

m^{2} - 3 m

in the form:

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

2 a = - 3 : a = - \frac{3}{2}

Add and subtract

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

m^{2} - 3 m + (- \frac{3}{2})^{2} - (- \frac{3}{2})^{2}

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

m^{2} - 3 m + (- \frac{3}{2})^{2} = (m - \frac{3}{2})^{2}

(m - \frac{3}{2})^{2} - (- \frac{3}{2})^{2}

Simplify

(m - \frac{3}{2})^{2} - \frac{9}{4}

x^{2} + 4 x - 8.25 = 0

12 r^{2} - 8 r - 27 = - 5

u^{2} - 10 u = - 26

x^{2} = - 2 x + 2

x^{2} - 20 x - 96 = 0

What are the solutions to the equation completesquare m^2-3m ?
The solutions to the equation completesquare m^2-3m are (m-3/2)^2-9/4
Find the zeros of completesquare m^2-3m
The zeros of completesquare m^2-3m are (m-3/2)^2-9/4