State the solutions, or estimated solutions, to the quadratic equation

Anonym

Anonym

Answered question

2021-08-15

State the solutions, or estimated solutions, to the quadratic equation by examining the graph of the related quadratic function.
Equation:x29x+20.25=0
Graph:y=x29x+20.25

Answer & Explanation

irwchh

irwchh

Skilled2021-08-16Added 102 answers

1. Find the solutions, or estimated solutions, if they exist, of the quadratic equation x29x+20.25=0 by graphing y=x29x+20.25.
Use zoom tool, if neccessary, to find the points where the graph crosses the x-axis, where y equals 0- this will be the solution(s).

2. The solutions to the equation x29x+20.25=0 occur where the graph crosses the x-axis, at the point the y value is 0.
The graph crosses the x-axis at the points(4.5,0). The only solution is x=4.5
3. Check that 4.5 is a solution. Replace 4.5 for x in the equation x29x+20.25=0
x29x+20.25=(4.5)29(4.5)+20.25
=20.25-40.5+20.25=0
This is a solution
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-14Added 2605 answers

Answer is given below (on video)

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