1 In general, given
a
x
2
+
b
x
+
c
ax
2
+bx+c, the factored form is:
a
(
x
−
−
b
+
b
2
−
4
a
c
2
a
)
(
x
−
−
b
−
b
2
−
4
a
c
2
a
)
a(x−
2a
−b+
b
2
−4ac
)(x−
2a
−b−
b
2
−4ac
)
2 In this case,
a
=
3
a=3,
b
=
−
54
b=−54 and
c
=
343
c=343.
3
(
y
−
54
+
(
−
54
)
2
−
4
×
3
×
343
2
×
3
)
(
y
−
54
−
(
−
54
)
2
−
4
×
3
×
343
2
×
3
)
3(y−
2×3
54+
(−54)
2
−4×3×343
)(y−
2×3
54−
(−54)
2
−4×3×343
)
3 Simplify.
3
(
y
−
54
+
20
3
ı
6
)
(
y
−
54
−
20
3
ı
6
)
3(y−
6
54+20
3
)(y−
6
54−20
3
)
4 Factor out the common term
2
2.
3
(
y
−
2
(
27
+
10
3
ı
)
6
)
(
y
−
54
−
20
3
ı
6
)
3(y−
6
2(27+10
3
)
)(y−
6
54−20
3
)
5 Simplify
2
(
27
+
10
3
ı
)
6
6
2(27+10
3
)
to
27
+
10
3
ı
3
3
27+10
3
.
3
(
y
−
27
+
10
3
ı
3
)
(
y
−
54
−
20
3
ı
6
)
3(y−
3
27+10
3
)(y−
6
54−20
3
)
6 Factor out the common term
2
2.
3
(
y
−
27
+
10
3
ı
3
)
(
y
−
2
(
27
−
10
3
ı
)
6
)
3(y−
3
27+10
3
)(y−
6
2(27−10
3
)
)
7 Simplify
2
(
27
−
10
3
ı
)
6
6
2(27−10
3
)
to
27
−
10
3
ı
3
3
27−10
3
.
3
(
y
−
27
+
10
3
ı
3
)
(
y
−
27
−
10
3
ı
3
)
3(y−
3
27+10
3
)(y−
3
27−10
3
I hope this help you
Answer:
A: x = 20
Step-by-step explanation:
Following are the calculation to the given equation:
Given:
![\to 5x^2 - 11x - 36 = 0](https://tex.z-dn.net/?f=%5Cto%205x%5E2%20-%2011x%20-%2036%20%3D%200)
one solution:
![x=4](https://tex.z-dn.net/?f=x%3D4)
To find:
other solution=?
Solution:
![\to 5x^2 - 11x - 36 = 0\\\\\to 5x^2 - (20-9)x - 36 = 0\\\\\to 5x^2 - 20x+9x - 36 = 0\\\\\to 5x(x - 4)+9(x - 4) = 0\\\\\to (x - 4) (5x+9) = 0\\\\\to x - 4=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x+9 = 0\\\\\to x = 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x = -9\\\\\to x = 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = \frac{-9}{5}\\](https://tex.z-dn.net/?f=%5Cto%205x%5E2%20-%2011x%20-%2036%20%3D%200%5C%5C%5C%5C%5Cto%205x%5E2%20-%20%2820-9%29x%20-%2036%20%3D%200%5C%5C%5C%5C%5Cto%205x%5E2%20-%2020x%2B9x%20-%2036%20%3D%200%5C%5C%5C%5C%5Cto%205x%28x%20-%204%29%2B9%28x%20-%204%29%20%3D%200%5C%5C%5C%5C%5Cto%20%28x%20-%204%29%20%285x%2B9%29%20%3D%200%5C%5C%5C%5C%5Cto%20x%20-%204%3D0%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%205x%2B9%20%3D%200%5C%5C%5C%5C%5Cto%20x%20%3D%204%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%205x%20%3D%20-9%5C%5C%5C%5C%5Cto%20x%20%3D%204%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20x%20%3D%20%5Cfrac%7B-9%7D%7B5%7D%5C%5C)
Therefore, another solution is "
".
Learn more:
brainly.com/question/3044722
X=60 and y=20
x and y can be many things that answers the question to 120
Answer:
Step-by-step explanation:
Let one no. =x
Therefore,other no. =x-7
According to question,
x+x-7= -23
2x=-23+7
x=-16/2
x=-8