the set of solutions of the quadratic equation x{}^{2} + 5x + 6 = 0
Answers
Answer:
The set of solutions of the quadratic equation x² + 5x + 6 = 0
= { -3 , -2 }
Step-by-step explanation:
For finding the set of solutions of the quadratic equation x² + 5x + 6 = 0
First , we should solve the equation, x² + 5x + 6 = 0
x² + 5x + 6 = 0
This is a second degree equation and the general formula of a second degree equation is ax² + bx + c = 0 .
Here
a = 1 , b = 5 , c = 6
Then,
x = ( -b ± √b² - 4ac )/2a (keep in mind.)
x = ( -5 ± √5² - 4 × 1 × 6)/ 2 × 1
x = ( -5 ± √25 - 24 )/2
x = ( -5 ± √1 )/2
x = (-5 ± 1)/2
Then, find the value of x by putting plus and minus signs.
x = (-5 + 1)/2 = -4/2 = -2
&
x = (-5 - 1)/2 = -6/2 = -3
∴ The set of solutions of the quadratic equation x² + 5x + 6 = 0
= { -3 , -2 }