The equation is . In this trinomial,
. Since c and b are positive signs, you need to find two positive factors with a sum of
and a product of 9.
(Apply distributive property:
)
(Apply distributive property:
)
(Apply distributive property:
)
Use the principle of zeroproducts, which says, if ab=0, either a , b or both must be equal to zero.
\ (Subtract 1 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
. (Subtract:
)
(Subtract 9 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
. (Subtract:
)
Check:
\To check, substitute or
in equation
.
(Substitute
)
(Evaluate powers:
)
(Multiply:
)
(Subtract:
)
(Apply additive inverse property:
)
The equation is true.
The roots are .