What are the solutions to the equation completesquare-x^2-5x+6 ?

The solutions to the equation completesquare-x^2-5x+6 are -(x+5/2)^2+49/4

Find the zeros of completesquare-x^2-5x+6

The zeros of completesquare-x^2-5x+6 are -(x+5/2)^2+49/4

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complete the square

- x^{2} - 5 x + 6

- (x + \frac{5}{2})^{2} + \frac{49}{4}

Solution steps

- x^{2} - 5 x + 6

Write

- x^{2} - 5 x + 6

in the form:

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

Factor out

- 1

- (x^{2} + 5 x - 6)

2 a = 5 : a = \frac{5}{2}

Add and subtract

(\frac{5}{2})^{2}

- (x^{2} + 5 x - 6 + (\frac{5}{2})^{2} - (\frac{5}{2})^{2})

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

x^{2} + 5 x + (\frac{5}{2})^{2} = (x + \frac{5}{2})^{2}

- ((x + \frac{5}{2})^{2} - 6 - (\frac{5}{2})^{2})

Simplify

- (x + \frac{5}{2})^{2} + \frac{49}{4}

\frac{1}{2} x^{2} - 5 = - x^{2} + 4.5

2 c^{2} + 15 = - 11 c

21 x^{2} + x - 10 = 0

5 x^{2} + 23 x = 13 x - 10

9 x^{2} + 8 x - 5 = 0

What are the solutions to the equation completesquare-x^2-5x+6 ?
The solutions to the equation completesquare-x^2-5x+6 are -(x+5/2)^2+49/4
Find the zeros of completesquare-x^2-5x+6
The zeros of completesquare-x^2-5x+6 are -(x+5/2)^2+49/4