What are the roots of the quadratic equation x2 + 5x + 6 = 0?​

Sagot :

Question:

What are the roots of the quadratic equation + 5x + 6 = 0?

Answer:

x = -2

x = -3

Explanation:

Given:

a = 1

b = 5

c = 6

Formula to be use:

[tex]x = \frac{ - b \: ± \sqrt{b {}^{2} - 4ac} }{2a} [/tex]

Solution:

[tex]x = \frac{ - 5 \:± \sqrt{ {5}^{2} - 4(1)(6)} }{2(1)} [/tex]

[tex]x = \frac{ - 5 \:± \sqrt{25 - 24} }{2} [/tex]

[tex]x = \frac{ - 5 + 1}{2} = x = - 2 \\ and \\ x = \frac{ - 5 - 1}{2} = x = - 3[/tex]

So that the roots of x2 + 5x + 6 = 0 is (x - 2) and (x-3)

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