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Solve for tt. t2−11t+10=0t^2-11t+10=0

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Q. Solve for tt. t2−11t+10=0t^2-11t+10=0
  1. Factor the quadratic: We have the quadratic equation t2−11t+10=0t^2 - 11t + 10 = 0. To solve for tt, we can factor the quadratic if possible.\newlineFactoring the quadratic equation:\newlinet2−11t+10=(t−1)(t−10)t^2 - 11t + 10 = (t - 1)(t - 10)
  2. Apply zero product property: Now that we have factored the equation, we can use the zero product property which states that if a product of two factors is zero, then at least one of the factors must be zero.\newlineSetting each factor equal to zero gives us two equations:\newlinet−1=0t - 1 = 0 and t−10=0t - 10 = 0
  3. Solve for tt (Equation 11): Solving the first equation t−1=0t - 1 = 0 for tt:t=1t = 1
  4. Solve for tt (Equation 22): Solving the second equation t−10=0t - 10 = 0 for tt:t=10t = 10

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