Example 1 utilized the Quadratic Formula . Verify that x = − b + b 2 − 4 a c 2 a is a solution of the equation a x 2 + b x + c = 0 . HINT: Substitute the fraction for x in a x 2 + b x + c and simplify.
Example 1 utilized the Quadratic Formula . Verify that x = − b + b 2 − 4 a c 2 a is a solution of the equation a x 2 + b x + c = 0 . HINT: Substitute the fraction for x in a x 2 + b x + c and simplify.
Solution Summary: The author explains that the given value of x is the solution for the quadratic equation.
Example 1 utilized the Quadratic Formula. Verify that
x
=
−
b
+
b
2
−
4
a
c
2
a
is a solution of the equation
a
x
2
+
b
x
+
c
=
0
.
HINT: Substitute the fraction for
x
in
a
x
2
+
b
x
+
c
and simplify.
Formula Formula A polynomial with degree 2 is called a quadratic polynomial. A quadratic equation can be simplified to the standard form: ax² + bx + c = 0 Where, a ≠ 0. A, b, c are coefficients. c is also called "constant". 'x' is the unknown quantity
A biologist is investigating the effect of potential plant
hormones by treating 20 stem segments. At the end of
the observation period he computes the following length
averages:
Compound X = 1.18
Compound Y = 1.17
Based on these mean values he concludes that there are
no treatment differences.
1) Are you satisfied with his conclusion? Why or why
not?
2) If he asked you for help in analyzing these data, what
statistical method would you suggest that he use to
come to a meaningful conclusion about his data and
why?
3) Are there any other questions you would ask him
regarding his experiment, data collection, and analysis
methods?
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