Mathematics, 15.07.2020 02:01 sarabell7626
If (ax+b)(bx+a)=26x^2+ Box(x) +26, where a, b, and Box are distinct integers, what is the minimum possible value of Box, the coefficient of x?
Answers: 2
![\frac{d}{da} (\frac{a^3+26}{a})=\frac{2a^3-26}{a^2}\\$Setting the derivative equal to zero, we have:\\2a^3-26=0\\2a^3=26\\a^3=13\\a=\sqrt[3]{13}](/tpl/images/0706/7086/1a5ee.png)
![\Box=a^2+b^2=\dfrac{(\sqrt[3]{13}) ^3+26}{\sqrt[3]{13}}\\=\dfrac{13+26}{\sqrt[3]{13}}\\\\\Box=16.59](/tpl/images/0706/7086/3b2ee.png)
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 17:30, lamanihill
Aplot of land is shaped like a quadrilateral. fences are built on the diagonal to divide the area into 4 sections. what is vi to the nearest tenth? gv = 6.55fv = 5.84vh = 3.27vi = ?
Answers: 1
Mathematics, 21.06.2019 21:00, cjgonzalez981
Type the correct answer in each box. use numerals instead of words. if necessary, use / fir the fraction bar(s). the graph represents the piecewise function: h
Answers: 3
You know the right answer?
If (ax+b)(bx+a)=26x^2+ Box(x) +26, where a, b, and Box are distinct integers, what is the minimum po...
Questions in other subjects:
Mathematics, 23.04.2020 20:37
Mathematics, 23.04.2020 20:37
Mathematics, 23.04.2020 20:37
History, 23.04.2020 20:37
English, 23.04.2020 20:37
