Enelope determined the solutions of the quadratic function by completing the square. f(x) = 4x2 + 8x + 1 –1 = 4x2 + 8x –1 = 4(x2 + 2x) –1 + 1 = 4(x2 + 2x + 1) 0 = 4(x + 2)2 0 = (x + 2)2 0 = x + 2 –2 = x what error did penelope make in her work? penelope should have subtracted 1 from both sides instead of adding 1. penelope should have subtracted 4 from both sides instead of adding 1. penelope should have added 4 to both sides instead of adding 1. penelope should have subtracted 8 from both sides instead of adding 1.

Group terms that contain the same variable, and move the constant to the opposite side of the equation

 (4x² + 8x)=-1

Factor the leading coefficient 

 4*(x² + 2x)=-1

Complete the square Remember to balance the equation by adding the same constants to each side.

 4*(x² + 2x+1)=-1+4 > ( added 4 to both sides)

Rewrite as perfect squares

4*(x+1)²=3

(x+1)²=3/4> (+/-)[x+1]=√3/2

(+)[x+1]=√3/2---> x1=(√3/2)-1> x1=(√3-2)/2

(-)[x+1]=√3/2> x2=(-2-√3)/2

therefore

the answer is

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true

the answer is "add 2y and y"

step-by-step explanation:

you need to collect the like terms first.