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

The solutions to the equation completesquare x^2-3x+2 are (x-3/2)^2-1/4

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

The zeros of completesquare x^2-3x+2 are (x-3/2)^2-1/4

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complete the square

x^{2} - 3 x + 2

(x - \frac{3}{2})^{2} - \frac{1}{4}

Solution steps

x^{2} - 3 x + 2

Write

x^{2} - 3 x + 2

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

Simplify

(x - \frac{3}{2})^{2} - \frac{1}{4}

x^{2} - 3 x - 4

5 x^{2} - 40 x + 50 = 0

x^{2} - 9 x + 7 = 0

7 = x (x - 4)

15 x^{2} - 4 x - 126 = - 30

What are the solutions to the equation completesquare x^2-3x+2 ?
The solutions to the equation completesquare x^2-3x+2 are (x-3/2)^2-1/4
Find the zeros of completesquare x^2-3x+2
The zeros of completesquare x^2-3x+2 are (x-3/2)^2-1/4