Q:

Question 10 Multiple Choice Worth 5 points)(09.02 LC)A quadratic equation is shown below:x2 - 14x +41 = 0Which of the following is the first correct step to write the above equation in the form (x - p)2 = 9, where p and q areintegers?Add 8 to both sides of the equationAdd 9 to both sides of the equationSubtract 8 from both sides of the equationSubtract 9 from both sides of the equation

Accepted Solution

A:
Answer:Add 8 to both sides of the equationStep-by-step explanation:We have been given the quadratic equation;x^2 - 14x +41 = 0 we are required to complete the square in order to express it in the form;(x - p)^2 = qIn order to do this we need to find a constant c, such that;[tex]c=(\frac{b}{2})^{2}[/tex]where b is the coefficient of x in the quadratic equation. In our case b = -14. Therefore,[tex]c=(\frac{-14}{2})^{2}=49[/tex]Therefore, for us to complete the square, the left hand side of the quadratic equation should be;x^2 - 14x +49Since we already have 41, we can simply add 8 to make it 49. Thus, the first correct step to write the above equation in the form (x - p)2 = 9, where p and q are integers is to Add 8 to both sides of the equation