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Sagot :
Answer:
- c = 6.25
Step-by-step explanation:
Given trinomial:
- z² - 5z + c
Complete square:
- z² - 2*2.5*z + 2.5² + c - 2.5² =
- (x - 2.5)² + c - 6.25
The value of c:
- c - 6.25 = 0
- c = 6.25
- z²-5z+c=0
- z²-2(z)(2.5)+c=0
Add and subtract 2.5²
- z²-2(z)(2.5)+2.5²-2.5²+c=0
- (z-2.5)²-6.25+c=0
So
- c-6.25=0
- c=6.25
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