steps to solving perfect squares and roots

Without solving the quadratic equation, the nature of the roots can be determined using the discriminant. i) D >0 i.e., positive and not a perfect square. The roots are real and distinct (irrational). ii) D >0 i.e., perfect h..

Without solving the quadratic equation, the nature of the roots can be determined using the discriminant. i) D >0 i.e., positive and not a perfect square. The roots are real and distinct (irrational). ii) D >0 i.e., perfect squa..

Divide the total obtained in step 3 by the number of items and calculate the square root to get the standard deviatio..

If Mean value theorem is applicable, solve the equation Show that one of the roots lie in the open interval (a, b). This verifies the Mean Value Theore..

The formula x = p + x - p 2 2 p + 1 is used to approximate the square root of a number x , where p is the square root of the nearest perfect square less than x . Use the equation to find 8 5 . => 18.211 or 10.211 or 7.211 or 9.211..

This is called the Kinetic gas equation where 'N' is the number of molecules in volume 'V', 'm' is the mass of the molecule and 'u' is the root mean square velocity of the molecule..

The following are the steps to solve a system of linear equations using Cramer's rule. Step 1: Find the value of the determinant Step 2: If D 0, then the system has unique solution, given by Where D 1 , D 2 and D 3 are the determinants obtained from D by repl..

The following are the steps to solve a system of linear equations using Cramer's rule. Step 1: Find the value of the determinant Step 2: If D 0, then the system has unique solution, given by Where D 1 , D 2 and D 3 are the determinants obtained from D by repl..

Energy Barrier - In this theory, the rate constant is related to three factors Z, f and p by the equation k = Zfp b (19) where Z is the collision frequency f is the fraction of collisions having energy greater than the threshold energy and p is the fraction of the collisions that occurs with the re..

An alternating current is that which changes continuously in magnitude and periodically in direction. It can be represented by a sine curve or a cosine curve i.e., I = I o sin w t or I = I o = cos w t Here, I o is peak value of current and I is instantaneous value of current. w = 2 p /T = 2..