Question

(p÷q)atex-formula">
=(q÷p)
$2 - x$


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Answer 1

Answer:

Step-by-step explanation:

Hello,

$\dfrac{p}{q}*\dfrac{q}{p}=1=(2x+2)(2-x)\\\\ 4x-2x^2+4-2x=1\\\\ -2x^2+2x+4-1=0\\\\ -2x^2+2x+3=0$

There are two solutions

$\Delta=b^2-4ac=2^2+4*2*3=4+24=28=7*4\\x_1=\dfrac{-2+\sqrt{7*4}}{-4}=\dfrac{-2+2\sqrt{7}}{-4}=\dfrac{1-\sqrt{7}}{2}\\x_2=\dfrac{1+\sqrt{7}}{2}$

Hope this helps