Express 2x²+20x+7 in the form (x+p) ²+q

f (x) = (x + 5) ² - 21.5

Step-by-step explanation:

Step 1: Subtract both sides by 7

2x² + 20x = - 7

Step: GCF and divide

2 (x² + 10x) = - 7

x² + 10x = - 7/2

Step 3: Complete the Square

x² + 10x + 25 = - 7/2 + 25

(x + 5) ² = 43/2

Step 4: Subtract 43/2 to both sides

(x + 5) ² - 43/2

And we have our equation!