Complete the square to transform the quadratic equation into the equation form (x – p)2 = q. x2 + 14x + 34 = 5 a) (x - 7)2 = 20 b) (x + 7)2 = 20 c) (x - 14)2 = 28 d) (x + 14)2 = 28 (its not a)

B)(x + 7)^2 = 20

You can subtract 34 from the original equation to get

... x^2 +14x = -29

Now, you can add the square of half the x-coefficient, and you will have ...

... x^2 +14x +49 = -29 +49

... (x +7)^2 = 20 . . . . . . matches selection B

Comment on answer choice A

The question asks for the form (x -p)^2 = q, but that does not mean that p must be positive. Here, p=-7 and q=20.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.