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Mathematics

Algebra

Easy

Question

The sum of all the real roots of the equation $left parenthesis 3 minus x right parenthesis to the power of 5 plus left parenthesis x minus 5 right parenthesis to the power of 5 equals negative 32$ is

The correct answer is: 8

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Four different integers form an increasing A.P. such that one of them is the square of the remaining numbers. Then the largest number is

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Let $f left parenthesis x right parenthesis equals x squared plus b x plus c$ , where $b comma c element of R$ . If f(x) is a factor of both $x to the power of 4 plus 6 x squared plus 25$ and $3 x to the power of 4 plus 4 x squared plus 28 x plus 5$ then the least value of f(x) is

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The total number of integral values of a so that $x squared minus left parenthesis a plus 1 right parenthesis x plus a minus 1 equals 0$ has integral roots is equal to

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