What are the solutions to the equation completesquare x^2+7x+10 ?

The solutions to the equation completesquare x^2+7x+10 are (x+7/2)^2-9/4

Find the zeros of completesquare x^2+7x+10

The zeros of completesquare x^2+7x+10 are (x+7/2)^2-9/4

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complete the square

x^{2} + 7 x + 10

(x + \frac{7}{2})^{2} - \frac{9}{4}

Solution steps

x^{2} + 7 x + 10

Write

x^{2} + 7 x + 10

in the form:

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

2 a = 7 : a = \frac{7}{2}

Add and subtract

(\frac{7}{2})^{2}

x^{2} + 7 x + 10 + (\frac{7}{2})^{2} - (\frac{7}{2})^{2}

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

x^{2} + 7 x + (\frac{7}{2})^{2} = (x + \frac{7}{2})^{2}

(x + \frac{7}{2})^{2} + 10 - (\frac{7}{2})^{2}

Simplify

(x + \frac{7}{2})^{2} - \frac{9}{4}

x^{2} + 2 x = 0

λ^{2} + λ - 6 (1) = 0

(2 s^{2} + 8 s + 16) = 0

2.7 \cdot 1 0^{- 9} \cdot x^{2} - 16 \cdot 1 0^{- 5} \cdot x + 0.5 = 0

2 x^{2} = 18 x - 16

What are the solutions to the equation completesquare x^2+7x+10 ?
The solutions to the equation completesquare x^2+7x+10 are (x+7/2)^2-9/4
Find the zeros of completesquare x^2+7x+10
The zeros of completesquare x^2+7x+10 are (x+7/2)^2-9/4