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j^(2)-17 j+72=0

j2−17j+72=0 j^{2}-17 j+72=0

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Full solution

Q. j2−17j+72=0 j^{2}-17 j+72=0
  1. Identify Quadratic Equation: Step 11: Start by identifying the quadratic equation.\newlineGiven equation: j2−17j+72=0j^2 - 17j + 72 = 0.
  2. Factorize Equation: Step 22: Factorize the quadratic equation.\newlineLooking for two numbers that multiply to 7272 and add up to −17-17. These numbers are −9-9 and −8-8.\newline(j−9)(j−8)=0(j - 9)(j - 8) = 0.
  3. Solve for Variables: Step 33: Solve each factor set to zero.\newlinej−9=0j - 9 = 0 or j−8=0j - 8 = 0.\newlineSo, j=9j = 9 or j=8j = 8.

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