The question states: Sketch the graphs of y = x^4 & y = 1-3x. Deduce the number of real roots of the equation: x^4+3x-1 I have sketched both graphics, but I am un-sure as how to prove that the graph has n number of real roots. Thank you.
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Originally Posted by StephenPoco The question states: Sketch the graphs of y = x^4 & y = 1-3x. Deduce the number of real roots of the equation: x^4+3x-1 I have sketched both graphics, but I am un-sure as how to prove that the graph has n number of real roots. Thank you. The graphs cross where the equations are equal: So or . So what does the number of times the two graphs cross tell you about the number of roots of ?
Oh, I see. So when the two graphs "combine" per se, their intersections become the roots? Well in that case there are 2 roots. Thanks.
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