Question

$I.p^2-7p=-12II.q^2-3q+2=0$

• A. p < q
• B. p > q
• C. p $\le$ q
• D. p $\ge$ q
• E. p = q

Answer 1

The correct option is B p > q

$\left(I\right)p^2-7p=-12\Rightarrow p^2-4p+12=0\Rightarrow p^2-4p-3p+12=0\Rightarrow p(p-4)-3(p-4)=0\Rightarrow (p-4)(p-3)=0\Rightarrow p=3or4\left(II\right)q^2-3q+2=0\Rightarrow q^2-2q-9+2=0\Rightarrow q(q-2)-1(q-2)=0\Rightarrow (q-2)(q-1)=0\Rightarrow q=1or2Obviouslyp>q$