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Question-72421




Question Number 72421 by TawaTawa last updated on 28/Oct/19
Answered by mind is power last updated on 28/Oct/19
let a,b,c,d root[in C  a+b+c+d=−2  a+b=2  c+d=−4  ab+ac+ad+bc+bd+cd=2..s  (a+b)(c+d)=ac+ad+bc+bd=2.−4=−8  ⇒s⇔ab+cd=10  abcd=25=ab.cd  ab,cd root of   X^2 −10X+25=0  ab=cd=5,a+b=2,c+d=−4  a,b root of x^2 −2x+5=0  ⇒(a,b)∈{(1−2i,1+2i),(1+2i,1−2i)}  (c,d)roots of x^2 +4x+5=0  (c,d)∈{−2+i,−2−i}  roots are 1+_− 2i,−2+_− i
leta,b,c,droot[inCa+b+c+d=2a+b=2c+d=4ab+ac+ad+bc+bd+cd=2..s(a+b)(c+d)=ac+ad+bc+bd=2.4=8sab+cd=10abcd=25=ab.cdab,cdrootofX210X+25=0ab=cd=5,a+b=2,c+d=4a,brootofx22x+5=0(a,b){(12i,1+2i),(1+2i,12i)}(c,d)rootsofx2+4x+5=0(c,d){2+i,2i}rootsare1+2i,2+i
Commented by TawaTawa last updated on 28/Oct/19
God bless you sir
Godblessyousir
Commented by mind is power last updated on 28/Oct/19
y,re welcom
y,rewelcom

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