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How do you solve the equation #-x^2+3x-1=0# by graphing?

Answer 1

Eva Abramson

#x=.382# and #x=2.618#

Plot the equation:

graph{-x^2+3x-1 [-2.774, -2.775, -5.537, 5.567]}

In this case, the function hits the x-axis at approximately #x=.382# and #x=2.618#.

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Answer 2

Abigail Allen

To solve the equation -x^2 + 3x - 1 = 0 by graphing, follow these steps:

Plot the quadratic function y = -x^2 + 3x - 1 on a graphing calculator or graphing software.
Find the x-intercepts, which are the points where the graph crosses the x-axis.
The x-intercepts represent the solutions to the equation.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.