Answer:
16
Step-by-step explanation:
Perfect square in the quadratic from ax² + bx + c
You know an equation is perfect when:
2√(ax²)√(c) = bx
Substitute x² for ax² and 8x for bx. Then isolate c by doing the reverse operations.
2√(ax²)√(c) = bx
2√(x²)√(c) = 8x
2x√c = 8x Divide both sides by 2x
√c = 4 Square both sides to isolate c.
c = 16
The missing constant term is 16.
Check answer:
x² - 8x + 16
(x - 4)²
= (x - 4)(x - 4)
= x² - 4x - 4x + 16
= x² - 8x + 16
