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If 27a+9b+3c+d=0 then the equation 4ax^(...

If `27a+9b+3c+d=0` then the equation `4ax^(3)+3bx^(2)+2cx+d` has at leat one real root lying between

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If 27a+9b+3c+d=0 then the equation 4ax^(3)-3bx^(2)+2cx+d has at leat one real root laying between

If 27a+9b+3c+d=0 , then the equation 4ax^(3)+3bx^(2)+2cx+d =0 has atleast one real root lying between

If 27a+9b+3c+d=0 , then the equation 4ax^3+3bx^2+2cx+d=0 has at least one real root lying between

Statement 1 : If 27a+9b+3c+d=0 , then the equation f(x) =4ax^(3) + 3b^(2) +2cx + d=0 . Has at least one real root lying between (0,3). Statement 2 : If f(x) is continuous in [a,b], derivable in (a,b) such that f(a) =f(b) , then at least one point c in (a,b) such that f(c ) = 0.

Statement 1: If 27 a+9b+3c+d=0, then the equation f(x)=4a x^3+3b x^2+2c x+d=0 has at least one real root lying between (0,3)dot Statement 2: If f(x) is continuous in [a,b], derivable in (a , b) such that f(a)=f(b), then there exists at least one point c in (a , b) such that f^(prime)(c)=0.

Statement 1: If 27 a+9b+3c+d=0, then the equation f(x)=4a x^3+3b x^2+2c x+d=0 has at least one real root lying between (0,3)dot Statement 2: If f(x) is continuous in [a,b], derivable in (a , b) such that f(a)=f(b), then there exists at least one point c in (a , b) such that f^(prime)(c)=0.

Statement 1: If 27 a+9b+3c+d=0, then the equation f(x)=4a x^3+3b x^2+2c x+d=0 has at least one real root lying between (0,3)dot Statement 2: If f(x) is continuous in [a,b], derivable in (a , b) such that f(a)=f(b), then there exists at least one point c in (a , b) such that f^(prime)(c)=0.

Statement 1: If 27 a+9b+3c+d=0, then the equation f(x)=4a x^3+3b x^2+2c x+d=0 has at least one real root lying between (0,3)dot Statement 2: If f(x) is continuous in [a,b], derivable in (a , b) such that f(a)=f(b), then there exists at least one point c in (a , b) such that f^(prime)(c)=0.

If a, b, c, d are real numbers such that (a+2c)/(b+3d)+(4)/(3)=0 . Prove that the equation ax^(3)+bx^(2)+cx+d=0 has atleast one real root in (0, 1).

If a, b, c, d are real numbers such that (a+2c)/(b+3d)+(4)/(3)=0 . Prove that the equation ax^(3)+bx^(2)+cx+d=0 has atleast one real root in (0, 1).