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y=x2+7x5y=x^2+7x-5

Full solution

Q. y=x2+7x5y=x^2+7x-5
  1. Find Numbers: First, we need to find two numbers that multiply to 5-5 (the constant term) and add up to 77 (the coefficient of the xx term).
  2. List Factors: Let's list the factors of 5-5: (1,5)(-1, 5) and (1,5)(1, -5).
  3. Identify Pair: Now, we need to find which pair of factors adds up to 77. The pair (5,2)(5, 2) works because 5+2=75 + 2 = 7.