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Solve for hh.\newlineh2+18h+17=0h^2 + 18h + 17 = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlineh=h = ____

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Q. Solve for hh.\newlineh2+18h+17=0h^2 + 18h + 17 = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlineh=h = ____
  1. Identify Numbers: h2+18h+17=0h^2 + 18h + 17 = 0\newlineFind two numbers with a product of 1717 and whose sum is 1818.\newline1×17=171 \times 17 = 17\newline1+17=181 + 17 = 18\newlineTwo numbers: 1,171,17
  2. Choose Equation: h2+18h+17=0h^2 + 18h + 17 = 0 \newlineChoose the equation after splitting the middle term.\newline18h18h can be written as the sum of 1h1h and 17h17h. \newlineh2+18h+17=0h^2 + 18h + 17 = 0\newlineh2+1h+17h+17=0h^2 + 1h + 17h + 17 = 0
  3. Write Factored Form: Write the factored form of h2+1h+17h+17=0h^2 + 1h + 17h + 17 = 0. \newlineh2+1h+17h+17=0h^2 + 1h + 17h + 17 = 0\newlineh(h+1)+17(h+1)=0h(h + 1) + 17(h + 1) = 0\newline(h+1)(h+17)=0(h + 1)(h + 17) = 0
  4. Solve for hh: h+1=0h + 1 = 0 \newlineSolve for hh.\newlineSubtract 11 from both sides. \newlineh+1−1=0−1h + 1 - 1 = 0 - 1 \newlineh=−1h = -1
  5. Solve for hh: h+17=0h + 17 = 0 \newlineSolve for hh. Subtract 1717 from both sides. \newlineh+17−17=0−17h + 17 - 17 = 0 - 17 \newlineh=−17h = -17
  6. Write Solutions: We found:\newlineh=−1h = -1\newlineh=−17h = -17\newlineWrite solutions of h2+18h+17=0h^2 + 18h + 17 = 0.\newlineValues of hh: −1-1, −17-17

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