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x 2 +5x+4=0 x 2 -5x+4=0 find the real roots to the given equation
Dear studentUsing quadratic formula the roots for the first equation are -4,-1and for the next equation, the roots are 4,1Regards
Dear studenta and b are the roots of x^2–5x+4=0a+b=5……………………..(1)a.b=4…………………………(2)Divide eq.(1) by eq.(2)(a+b)/a.b=5/4or 1/b+1/a=5/4………………….(3)On reversing eq.(2) both sidesor 1/a.b=1/4 or (1/a).(1/b)=1/4…………….(4)put (1/b)=(5/4-1/a) from eq.(3)(1/a).(5/4–1/a)=1/45/4a-1/a^2=1/41/a^2–5/4a+1/4=01/a^2–1/a-1/4a+1/4=01/a(1/a-1)-1/4(1/a-1)=0(1/a-1)(1/a-1/4)=01/a= 1 , 1/4 ,but 1/b=(5/4–1/a)1/b=5/4–1 ,5/4–1/4Good Luck
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