If one zero of the quadratic polynomial x²-5x-6 is 6, then find the other zero
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Answer:
x=5/2+1/2√73 or x=5/2+−1/2√73
Step-by-step explanation:
x2−5x−6=6
Step 1: Subtract 6 from both sides.
x2−5x−6−6=6−6
x2−5x−12=0
For this equation: a=1, b=-5, c=-12
1x2+−5x+−12=0
Step 2: Use quadratic formula with a=1, b=-5, c=-12.
x=−b±√b2−4ac/2a
x=−(−5)±√(−5)2−4(1)(−12)/2(1)
x=5±√73/2
x=5/2+1/2√73 or x=5/2+−1/2√73
Answer:
x=5/2+1/2√73 or x=5/2+−1/2√73
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