@andrewallday: Let's work through this problem: x² - 11x + 19 = -5 Step 1: Set the equation equal to zero Add 5 to both sides to move everything to one side. x² - 11x + 24 = 0 Step 2: Factor the quadratic Find two numbers that multiply to 24 and add to -11. Those numbers are -8 and -3. (x - 8)(x - 3) = 0 Step 3: Apply the zero product property If the product of two factors equals zero, then at least one of the factors must equal zero. Set each factor equal to zero. x - 8 = 0 or x - 3 = 0 Step 4: Solve each equation Solve for x in both equations. x = 8 or x = 3 The solutions are x = 8 and x = 3. You can check your work by plugging each value back into the original equation. #alldayeverydaymath #algebra #math #fyp

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2026-01-12 11:48:45

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