How to solve step by step: consider the quadratic function

Barbara Schroder

Barbara Schroder

Answered question

2021-12-04

How to solve step by step: consider the quadratic function f(x)=x23x18
What is the smallest x-intercept?

Answer & Explanation

Pulad1971

Pulad1971

Beginner2021-12-05Added 22 answers

Step 1
f(x)=x23x18
x-intercept is a point on the graph where y=0
x23x18=0
For a quadratic equation of the form ax2+bx+c=0 the solutions are
x1, 2=b±b24ac2a
For a=1, b=3, c=18
x1, 2=(3)±(3)24×1(18)2×1
x1, 2=3±9+722
x1, 2=3±812
x1, 2=3+92, 392
[81=9]
x1, 2=6, 3 MSL Smallest x-intercept (3, 0)
Largest x-intercept (6, 0)
Step 2
y-intercept is the point on the graph where x=0
y=023×018
y=0018
y=18
y-intercept (0, 18)

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