`(x)/(3)+1.5-0.12x=((0.5+x))/(2)`

3x^(2)-5x-12=0

(0.5)/(x-x^(2)-1)<0

The roots of 2x^(5) + x^(4) - 12x^(3) - 12x^(2) + x + 2 = 0 are

If A is a square matrix of any order then |A-x|=0 is called the chracteristic equation of matrix A and every square matrix satisfies its chatacteristic equation. For example if A=[(1,2),(1,5)], Then [(A-xI)], = [(1,2),(1,5)]-[(x,0),(0,x)]=[(1-x,2),(1-0,5-x)]=[(1-x,2),(1,5-x)] Characteristic equation of matrix A is |(1-x,2),(1,5-x)|=0 or (1-x)(5-x)(0-2)=0 or x^2-6x+3=0 Matrix A will satisfy this equation ie. A^2-6A+3I=0 . A^-1 can be determined by multiplying both sides of this equation. Let A=[(1,0,0),(0,1,1),(1,-2,4)] On the basis for above information answer the following questions:Sum of elements of A^-1 is (A) 2 (B) -2 (C) 6 (D) none of these

If A is a square matrix of any order then |A-x|=0 is called the chracteristic equation of matrix A and every square matrix satisfies its chatacteristic equation. For example if A=[(1,2),(1,5)], Then [(A-xI)], = [(1,2),(1,5)]-[(x,0),(0,x)]=[(1-x,2),(1-0,5-x)]=[(1-x,2),(1,5-x)] Characteristic equation of matrix A is |(1-x,2),(1,5-x)|=0 or (1-x)(5-x)(0-2)=0 or x^2-6x+3=0 Matrix A will satisfy this equation ie. A^2-6A+3I=0 A^-1 can be determined by multiplying both sides of this equation let A=[(1,0,0),(0,1,1),(1,-2,4)] On the basis for above information answer the following questions:Sum of elements of A^-1 is (A) 2 (B) -2 (C) 6 (D) none of these

Solve the inequality if f(x)=((x-2)^(10)(x+1)^(3)(x-((1)/(2)))^(5)(x+8)^(2))/(x^(24)(x-3)^(3)(x+2)^(5))is>0 or <0

(x^(2)-3.5x+1.5)/(x^(2)-x-6)=0

Solve for :(2)/(x+1)+(3)/(2(x-2))=(23)/(5x);x!=0,-1,2

(0.5)([log_((1)/(3))((x+5)/(x^(2)+3)))>1(0.5)