complete the square to rewrite the equation in the form (x−h)2=p. x2+6x−18=0 what is the equation in (x−h)2=p form?

Answer 1

x² + 6x − 18 = 0 [add 18 to both sides of the equation to get:

x² + 6x = 18

Using the coefficient in front of the "x" (which is 6), divide it by 2 and square the results so 6/2 = 3 and 3² = 9. Add 9 to both sides of the equation to get:

x² + 6x + 9 = 18 + 9

Write the left hand side as a "square" with the number grouped with the "x" as the coefficient in front of "x" (which is 6) divided by 2 (so "3")

(x + 3)² = 27

Answer 2

x^2 + 6x - 18 = 0

we first move 18 to right hand side:

x^2 + 6x = 18

take half of 6 and square it (9), then add to both sides

x^2 + 6x + 9 = 27

factor perfect square

(x+3)^2 = 27