Question:
What are the roots of the quadratic equation x² + 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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