10/23/2023 0 Comments Images of quadratic sequences![]() The Babylonians knew about sequences of steps they could perform to find the solution to such a question - which is why we say they knew about the quadratic formula. Which, writing for the side, translates to the equation If I add to the area of a square twice its side, I get 48. So a Babylonian student might be given questions such as: The solution (s) to a quadratic equation can be calculated using the Quadratic Formula: The '±' means we need to do a plus AND a minus, so there are normally TWO solutions The blue part ( b2 - 4ac) is called the 'discriminant', because it can 'discriminate' between the possible types of answer: when it is negative we get complex solutions. numbers and algebraic expressions logic, sets, intervals absolute value function and its properties linear function quadratic function. Also, they didn't write their maths using symbols and letters as we do, but using words. Firstly, they didn't know about negative numbers, so they could only solve quadratics that had a positive solution. To say that the Babylonians knew this formula is a little misleading. So comparing with our equation above we see and Substituting these for and in expression (1) recovers the general quadratic formula How is that related to the quadratic formula we learn about at school? We usually write a general quadratic equation asĭividing through by so that the coefficient of is 1 gives Taking the square root of both sides gives It still has area But if we add a little square of side length to the bottom right corner of we get a big square with side length and area Therefore, This quiz includes images that dont have any alt text - please contact your teacher who should be able to help you with an audio description.
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