Please help ASAP!!!!!

Question

asked Feb 27, 2020 176k views

1 Answer

Aaron Bonner · Answer 1 · 2020-03-02T22:44:21+0000

Answer: OPTION C

Explanation:

Complete the square:

Having the equation in the form
ax^2+bx=c , you need to add
((b)/(2))^2 to both sides of the equation:

You can identify that "b" in the equation
x^2+6x=5 is:

b=6

Then:

((6)/(2))^2=3^2

Add this to both sides:

x^2+6x+3^2=5+3^2

Rewriting, you get:

(x+3)^2=14

Solve for "x":

$x+3=\±√(14)\\\\x+3=\±√(14)\\\\x=\±√(14)-3$

Then, the solutions are:

$x=-3+√(14)\ or\ x=-3-√(14)$