Can you help Complete the square x² + 4x + __ to form a perfect square trinomial

and

Solve using the Quadratic Formula.

2 – 5x² = -9x

Hi,

Complete the square x² + 4x + __ to form a perfect square trinomial

½(4) = 2 and 2² = 4, so x² + 4x + 4 is the perfect square trinomial, which factors into (x + 2)²

Solve using the Quadratic Formula.

2 – 5x² = -9x

5x² - 9x - 2 = 0
. . . . . ____________
-(-9) ±√(-9)² - 4(5)(-2)
------------------------------- = x
. . . . . 2(5)
. . . _______
9 ±√81 + 40
-------------------- = x
. . . . 10
. . . ____
9 ±√ 121
--------------- = x
. . 10

9 ± 11
---------- = x
. .10

x = 2 or x = -1/5 <==ANSWERS

I hope that helps!! :-)