If a and b are the two solutions of the equation x2 - 5x + 4 = 0, what is the value of? Give your answer as a fraction.

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问题 If a and b are the two solutions of the equation x² - 5x + 4 = 0, what is the value of

?
Give your answer as a fraction.

选项

答案5/2

解析 Factoring the quadratic equation x² - 5x + 4 = 0, you get(x - 1)(x - 4)= 0, so the two solutions are either a = 1 and fr = 4 or a = 4 and b = 1. Note that a and b are interchangeable in the expression

so the value of the expression will be the same regardless of the choices of a and b. Thus

and the correct answer is 5/2.
This explanation uses the following strategies.
Strategy 5: Simplify an Arithmetic or Algebraic Representation
Strategy 8: Search for a Mathematical Relationship

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If a and b are the two solutions of the equation x2 - 5x + 4 = 0, what is the value of? Give your answer as a fraction.

GRE QUANTITATIVE

GRE

WhenIwasyoung,Ispentmysummervacationsonmygrandparents’farm.ThesummerthatIgraduatedfromcollege,I【C1】______my

Aspecialresearchteamfromthelocalmedicalcenter【C1】______experimentsoncompletelyblindbabies.Thebabiestobetestedo

Allthefollowingcasesareon-the-jobsmokingexceptthat______.Accordingtothepassage,on-the-jobsmokingaffectsanemplo

Ourpreferencesforcertaincolorsare______accordingtothepassage.Whichofthefollowingcouldbethemostsuitabletitle

Englandisnotabigcountry:fromnorthtosouthandfromeasttowestitisonlyaboutthreehundredmilesacross.Butforas

Ifxandyareoddintegers,whichofthefollowingmustalwaysbeanon-integer?

DoesthelineLpassquadrantIV？(1)TheslopeofLisnegative.(2)y-interceptoflineLis-5.

Thequestionsinthisgrouparebasedonthecontentofapassage.Afterreadingthepassage,choosethebestanswertoeachque

Whatisthemaximumnumberofnonover-lappingregionsintowhich3linescandividetheinteriorofacircle?

Whatistheequationofalineparalleltoy=4x-12thatcrossesthey-axisat3?

小直径管对接水平固定或垂直固定TIG焊试件弯曲试验时，弯曲直径为3倍壁厚，弯曲角度为()合格。

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