What are the solutions to the equation completesquare x^2+3x+10 ?

The solutions to the equation completesquare x^2+3x+10 are (x+3/2)^2+31/4

Find the zeros of completesquare x^2+3x+10

The zeros of completesquare x^2+3x+10 are (x+3/2)^2+31/4

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complete the square

x^{2} + 3 x + 10

(x + \frac{3}{2})^{2} + \frac{31}{4}

Solution steps

x^{2} + 3 x + 10

Write

x^{2} + 3 x + 10

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 + 10 + (\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} + 10 - (\frac{3}{2})^{2}

Simplify

(x + \frac{3}{2})^{2} + \frac{31}{4}

x, x^{2} = a x y + b y

2 x^{2} - 7 x - 8 = 12

2 x^{2} - 12 x + 15

- 4 x^{2} + 151.8 x - 396.8 = 0

(2 x + 3)^{2} = 169

What are the solutions to the equation completesquare x^2+3x+10 ?
The solutions to the equation completesquare x^2+3x+10 are (x+3/2)^2+31/4
Find the zeros of completesquare x^2+3x+10
The zeros of completesquare x^2+3x+10 are (x+3/2)^2+31/4