What is the solution set of the equation x23x10=0
Mathematics
Alexusc
Question
What is the solution set of the equation x23x10=0
2 Answer

1. User Answers Anonym
x^23x10=0
(x5)(x+2) = 0
x5= 0 so x = 5
x+2 = 0 so x = 2
answer: solutions are x = 2 and x = 5

2. User Answers MrRoyal
The solution set of the equation are the truth values of the equation.
The solution set of the equation is {2,5}
The equation is given as:
[tex]\mathbf{x^2  3x  10 = 0}[/tex]
Expand
[tex]\mathbf{x^2 +2x  5x  10 = 0}[/tex]
Factorize
x(x +2)  5(x + 2) = 0
Factor out x + 2
(x  5) (x + 2) = 0
Split
(x  5) = 0 or (x + 2) = 0
Solve for x
x = 5 or x = 2
Hence, the solution set of the equation is {2,5}
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