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E-17
To solve y = ax
2
+ b for x when y = 0, a = 1, and b = –2
S,(Y) Ss(=) S-(A)
S)(X) w+Se(B)
1s(SOLVE)
Prompts for input of a value for Y Current value of Y
0 =
1 =
c
- 2 =f
1s(SOLVE)
Solution screen
To exit SOLVE: A
Important: • Depending on what you input for the initial value
(solution variable), SOLVE may not be able to obtain solutions. If
this happens, try changing the initial value so they are closer to the
solution. • SOLVE may not be able to determine the correct solution,
even when one exists. • SOLVE uses Newton’s Law, so even if there
are multiple solutions, only one of them will be returned. • Due to
limitations in Newton’s Law, solutions tend to be difficult to obtain for
equations like the following:
y = sin( x ), y = e
x
, y =
'
x
, y = x
−1
• If an
expression does not include an equals sign (=), SOLVE produces a
solution for expression = 0.
Statistical Calculations (SD, REG)
To select this type of statistical calculation:
(Regression formula shown in parentheses)
Perform this key
operation:
Single-variable (X)
,,b(SD)
Paired-variable (X, Y), linear regression
(
y = A + B x )
,,c(REG)
b(Lin)
Paired-variable (X, Y), logarithmic regression
(
y = A + Bln x )
,,c(REG)
c(Log)
Paired-variable (X, Y),
e exponential
regression (
y = A e
B
x
)
,,c(REG)
d(Exp)
Paired-variable (X, Y), power regression
(
y = A x
B
)
,,c(REG)
eb(Pwr)
Paired-variable (X, Y), inverse regression
(
y = A + B/ x )
,,c(REG)
ec(Inv)
Paired-variable (X, Y), quadratic regression
(
y = A + B x + C x
2
)
,,c(REG)
ed(Quad)
Y
=
AX
2
+
B
_
Y
=
AX
2
+
B
_
Y
?
0.
Y
?
0.
A
?
A
?
X
?
X
?
B
?
B
?
X
?
X
?
X
=
1.414213562
X
=
1.414213562
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