A quadratic equation is shown below x2 8x 13 0 Which of t

A quadratic equation is shown below. x^2 - 8x + 13 = 0 Which of the following is the first correct step to write the above equation in the form (x - p)^2 = q, where p and q are integers? Subtract 5 from both sides of the equation Subtract 3 from both sides of the equation Add 5 to both sides of the equation Add 3 to both sides of the equation

Solution

The correct step to write the given quadratic equation x² - 8x + 13 = 0 as ( x - p )² = q is

add 3 on both sides of the equation

x² - 8x + 13 + 3 = 0 + 3

x² - 8x + 16 = 3

( x - 4 )² = 3