If p and q are distinct real numbers that satisfy the equation 3y^2-11y-224=0, find the sum of p + q?

Question

3y^2 - 11y - 224 = 0

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Answer 1 · 2017-02-25T08:51:24

#(p+q)=11/3#

We have

#3p^2-11p-224=0# and

#3q^2-11q-224=0#

subtracting term to term

#3(p^2-q^2)-11(p-q)=0# or

#(3(p+q)-11)(p-q)=0#

now supposing that #p ne q# we have

#3(p+q)-11=0->(p+q)=11/3#