Suppose that to find the length of the base of a triangle, you write a quadratic equation and solve it to find b=5 or b=−10. Explain why one solution should be discarded.
a. Five is too large of a base of a triangle.
b. Only positive numbers make sense in this context.
c. The side of a triangle cannot have a negative length.
d. Substituting a negative solution back into a quadratic equation does not check.