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2. The equation x2 -4x + 3 = 0 hpositiveasroots.3.The equation x2 + 4x + 3 = 0 has roots ι and β. Findthe equation whose roots are (1+) and (1+ |
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Answer» x^2-4x+3=0x^2-1x-3x+3=0x(x-1)-3(x-1)=0(x-1)(x-3)hence X=1 and 3 so the equation has 2 postive roots x^2+4x+3=0x=-b+-√b^2-4ac/2ahencex=-4+-√16-12/2x=-4+-2/2x=-3 and -1let a=-3 and b=-1value of 1+a/b=1+3=41+b/a=4/3now equation with roots arex^2-(a+b)x+abhencex^2-(4+4/3)x+4*4/3x^2-16/3x+16/3 |
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