What are the solutions to the equation completesquare x^2-3x-12 ?

The solutions to the equation completesquare x^2-3x-12 are (x-3/2)^2-57/4

Find the zeros of completesquare x^2-3x-12

The zeros of completesquare x^2-3x-12 are (x-3/2)^2-57/4

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complete the square

x^{2} - 3 x - 12

(x - \frac{3}{2})^{2} - \frac{57}{4}

Solution steps

x^{2} - 3 x - 12

Write

x^{2} - 3 x - 12

in the form:

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

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

Add and subtract

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

x^{2} - 3 x - 12 + (- \frac{3}{2})^{2} - (- \frac{3}{2})^{2}

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

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

(x - \frac{3}{2})^{2} - 12 - (- \frac{3}{2})^{2}

Simplify

(x - \frac{3}{2})^{2} - \frac{57}{4}

19800 x^{2} + 5000 x + 3500 = 0

x^{2} + 2 x - 9

x^{2} - x = 20

u^{2} - 3 u + 4 = 0

x^{2} + 2 x + 6

What are the solutions to the equation completesquare x^2-3x-12 ?
The solutions to the equation completesquare x^2-3x-12 are (x-3/2)^2-57/4
Find the zeros of completesquare x^2-3x-12
The zeros of completesquare x^2-3x-12 are (x-3/2)^2-57/4