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:
\(\mathbf{x^2 - 3x - 10 = 0}\)
Expand
\(\mathbf{x^2 +2x - 5x - 10 = 0}\)
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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