" Q."26." If "x+(1)/(x)=5" then "x^(2)+(1)/(x_(2))=?

Q.if (x-1)(x-2)(x+5)<0 then

If P(x)=intx^(3)/(x^(3)-x^(2))dx, Q(x)=int1/(x^(3)-x^(2))dx " and " (P+Q)(2)=5/2, " then " P(3)+Q(3)=

(x-1) / (2x + 1) + (2x + 1) / (x-1) = (5) / (2), x! =-(1) / (2), 1

If P (x) = (x^(3) + 1) (x-1) and Q (x) = (x^(2) -x +1) (x^(2) -3x +2) , then find HCF of P (x) and Q (x) .

Let the equation x^(5) + x^(3) + x^(2) + 2 = 0 has roots x_(1), x_(2), x_(3), x_(4) and x_(5), then find the value of (x_(2)^(2) - 1)(x_(3)^(2) - 1)(x_(4)^(2) - 1)(x_(5)^(2) - 1).

Add :5x^(2)-(1)/(3)x+(5)/(2),-(1)/(2)x^(2)+(1)/(2)x-(1)/(3) and -2x^(2)+(1)/(5)x-(1)/(6)