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How can you predict the number of x intercepts without drawing the graph or (completely) solving an equation?

April 26, 2017completely drawing equation Graph intercepts predict Solving

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How can you predict the number of x intercepts without drawing the graph or (completely) solving an equation?

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Answer a quadratic equation has the form ax^2 +bx +c = 0 calculate the radical b^2 -4ac. if that is zero, there is only one intercept if that is positive, there are two intercepts if that is negative, there are only imaginary solutions and no intercepts.