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Alona [7]
3 years ago
6

Write the quadratic equation whose roots are -5 -4 and whose leading coefficient is 4

Mathematics
1 answer:
vfiekz [6]3 years ago
4 0

Answer:

y = 4x² + 36x + 80

Step-by-step explanation:

Since the roots are x = - 5 and x = - 4 then the factors are

(x + 5) and (x + 4)

The equation is the product of the factors

y = (x + 5)(x + 4) and with leading coefficient of 4 is

y = 4(x + 5)(x + 4) ← expand factors

  = 4(x² + 9x + 20)

  = 4x² + 36x + 80

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Solve the system of equations by using the addition method
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How do you solve this system of equations using the addition method:
4
x
−
y
=
−
4
;
5
x
+
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y
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?
Algebra
1 Answer


IDKwhatName
Jun 30, 2017
x
=
−
2
,
y
=
−
4
Explanation:
Right now, you have:
4
x
−
y
=
−
4

5
x
+
2
y
=
−
18
To make this easier, you must get rid of one variable, in this case I will remove
y
, to do this you must make the y-values in both equations the same.
To do this, I will multiply the whole of
4
x
−
y
=
−
4
by 2 to give
8
x
−
2
y
=
−
8
We now have:
8
x
−
2
y
=
−
8

5
z
+
2
y
=
−
18
All we need to do now is
(
8
x
−
2
y
+
5
x
+
2
y
)
=
(
−
18
−
8
)
≡
13
x
=
−
26
.
Divide both sides by 13 to find
x
:
13
x
=
−
26

13
x
13
=
−
26
13

x
=
−
2
Now put your value for
x
into either equation:
4
(
−
2
)
−
y
=
−
4

−
8
−
y
=
−
4

y
=
−
8
+
4

y
=
−
4
x
=
−
2
;
y
=
−
4
Answer link
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