Question

Type the correct answer in each box. Use numerals instead of words. Solve the equation by completing the square. x2 + 20x + 82 = 7 The solutions, in order from least to greatest, are x =____ and x = _____.

Answer 1

7=x^2+20x+82
0=x^2+20x+75

What adds to 20 and multiplies to 75? 5 and 15.

x^2+5x+15x+75
x(x+5) 15(x+5)
(x+15) (x+5)

Zeroes are x= -5 and x= -15