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2 cards from this section. Quick, good the night before a test.
Factor the equation: x² - 8x + 16 = 0.
Look for numbers that multiply to +16 and add to -8.
What are the roots of x² + 2x - 15 = 0?
Factor to find (x - 3)(x + 5) = 0.
What is the quadratic formula?
Remember it’s derived from the general form of the quadratic equation.
True or False: The discriminant can be negative, indicating complex roots.
Think about the implications of the square root of a negative number.
Prove that the roots of the quadratic equation ax² + bx + c = 0 can be expressed using the quadratic formula. Derive it step by step.
Focus on isolating x by removing the constant term and completing the square.
An object thrown in the air follows a quadratic path. If its height in meters is represented by h(t) = -5t² + 20t + 2. Find the time at which the object hits the ground.
Remember that time cannot be negative; discard any non-physical solutions.
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