X^4-5x^3+11x^2-13x+6 where two roots are connected by 2a+3b=7
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1.(a) solve the equation x4−5x3+11x2−13x+6=0x4−5x3+11x2−13x+6=0 , given that two of its roots pp & qq are connected by the relation 3p+2q=73p+2q=7
(b) solve the equation x4−5x3+11x2−13x+6=0x4−5x3+11x2−13x+6=0 which has two roots whose difference is 11
did I need to solve these problems by taking roots x1,x2,x3,x4x1,x2,x3,x4 and using the relation between roots and coefficients and the given facts. it will be then a very lengthy process.is there any alternative short process
(b) solve the equation x4−5x3+11x2−13x+6=0x4−5x3+11x2−13x+6=0 which has two roots whose difference is 11
did I need to solve these problems by taking roots x1,x2,x3,x4x1,x2,x3,x4 and using the relation between roots and coefficients and the given facts. it will be then a very lengthy process.is there any alternative short process
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