Question

Need Help!! 50 points!!

Answer 1

The x-intercepts are:

(−8+71−−√,0)≈(0.426149773176359,0)

(−71−−√−8,0)≈(−16.4261497731764,0)

The y-intercepts are:

(0,0)

Hope this helps :)

Explanation:

Answer 2

x = √71 - 8

x = -√71 - 8

Explanation:

x-intercept for the equation using completing the square.

x² + 16x - 7 = 0

• transpose 7 to right side : x² + 16x = 7

by completing the square:

write in the form of x² +2ax + a² = (x + a)²

• solve for a : 2ax = 16x
• a = 16x/2x
• a = 8

back to first equation, we add a² = 8² to both sides

• x² + 16x + 8² = 7 + 8²
• simplify: x² + 16x + 8² = 71
• complete the square: (x + 8)² = 71

solve x + 8 = √71

x = √71 - 8

x = -√71 - 8

therefore, the answer would be:

x = √71 - 8

x = -√71 - 8