Roots in equations
1. Without solving the equation determine the number of roots (real, different, same, imaginary):
a) 2x^2+7x-14=0
b) do the same for 2x^2-3x+10=0
c) e^2x+5=ln 125
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Solution Preview
1 a) Compute the determinant: b^2-4ac=7^2-4(2)(-14)=49+112=161>0.
Thus the equation has two ...
Solution Summary
This shows how to determine the number of roots without solving an equation.
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