Express the following in mathematical forms. Simplify and give your answer with the correct signs. Remember to use the BDMAS rule. Twenty four is added to,fifteen divided by three
Answers
Answer:
Explanation:
x
2
−
4
x
−
3
is of the form
a
x
2
+
b
x
+
c
, with
a
=
1
,
b
=
−
4
and
c
=
−
3
.
This has discriminant
Δ
given by the formula:
Δ
=
b
2
−
4
a
c
=
(
−
4
)
2
−
(
4
×
1
×
−
3
)
=
16
+
12
=
28
=
2
2
⋅
7
This is positive but not a perfect square, so
x
2
−
4
x
−
3
=
0
has two distinct irrational roots.
Use the quadratic formula to give the roots:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
=
−
b
±
√
Δ
2
a
=
4
±
2
√
7
2
=
2
±
√
7
Step-by-step explanation:
(i) Twenty four is added to, fifteen divided by three. (ii) Twenty is divided by, six subtracted from sixteen. (iii) The difference of eight, and four multiplied by twenty. (iv) Negative four multiplied by negative ten is subtracted from positive eighty multiplied by negative one, (v) Six is added to the sum of fifteen and the additive inverse of twenty. (vi) Four is divided by the difference between ten and six vii) The additive inverse of fifteen is multiplied by the sum of twelve and the additive inverse of forty-two.