unable to understand solution |x-18| + |x+9| + |x-9| + |x+18| = 54 how many integer values of x are possible?

unable to understand solution |x-18| + |x+9| + |x-9| + |x+18| = 54 how many integer values of x are possible?

unable to understand solution A quadratic equation x2 + bx + c = 0 has two real roots. If the difference between the reciprocals of the roots is , and the sum of the reciprocals of the squares of the roots is then the largest possible value of (b + c) is (CAT 2023 slot 3 question) https://d2ri5jhbzuxt54.cloudfront.net/institute/catking/questions/fbe3d307262b411ab1614be11f08be78.gif

unable to understand solution A quadratic equation x2 + bx + c = 0 has two real roots. If the difference between the reciprocals of the roots is , and the sum of the reciprocals of the squares of the roots is then the largest possible value of (b + c) is (CAT 2023 slot 3 question) https://d2ri5jhbzuxt54.cloudfront.net/institute/catking/questions/fbe3d307262b411ab1614be11f08be78.gif

unable to understand solution The equation x3+(2r+1)x2+(4r−1)x+2=0 has -2 as one of the roots. If the other two roots are real, then the minimum possible non-negative integer value of r is

unable to understand solution The equation x3+(2r+1)x2+(4r−1)x+2=0 has -2 as one of the roots. If the other two roots are real, then the minimum possible non-negative integer value of r is

unable to understand solution how are arrangement here made?

unable to understand solution how are arrangement here made?