The solution of the equation is x=3 or x=-5.
Given that the equation is (x+2)²-2(x-+2)-15=0 and use u substitution method to solve.
Let's assume that the (x+2)=u.
The given equation is rewritten as u²-2u-15=0.
Factorize the quadratic equation by adding or subtracting two number that gives the sum of -2u and product 15u² as
u²-5u+3u-15=0
u(u-5)+3(u-5)=0
Taking out (u-5) as common and get
(u-5)(u+3)=0
Compare each equation with 0 and get
u-5=0 or u+3=0
u=5 or u=-3
Performing back substitution by substituting the values of u in x+2
when u=5 then x is
x+2=5
x=3
And when u=-3 then x is
x+2=-3
x=-5
Hence, the solutions of the (x+2)²-2(x-+2)-15=0 is x=3 and x=-5.
Learn about the substitution here brainly.com/question/12802700
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I hope this helps you and have a great rest of the day! :)</span>
Answer:
(x−2)2+(y+1)2=100
Explanation:
the standard form of the equation of a circle is
2
2
(
x
−
a
)
2
+
(
y
−
b
)
2
=
r
2
2
2 where (
a
,
b
) are the coordinates of the center and r is the radius to find the center we require the midpoint of the 2 given points center =
[
1
2
(
−
4+
8
)
,
1
2
(
7
−
9
)
] center
=
(
2
,
−
1
) the radius is the distance from the center to either of the 2 given points calculate the radius using the distance formula
∙ d
=
√
(
x2
−
x
1
)
2
+
(
y
2
−
y
1
)
2 let (
x
1
,
y
1)
=
(
2
,
-1
) and (
x
2
,
y
2
)
=
(
−
4
,
7
)
r
=
√
=
√
(
−
4
−
2
)
2
+
(
7
+
1
)
2
=
√
36
+
64
=
10
⇒
(
x
−
2
)
2
+
(
y
−
(
−
1
)
)
2
=
10
2
⇒
(
x
−
2
)2
+
(
y
+
1
)
2
=
100
← equation of circle
Answer:
line
Step-by-step explanation:
Answer:
I CAN'T SEE ANYTHING FROM THAT FAR SORRY BUT I WISH I COULD HELP YOU!!!
Step-by-step explanation:
(again sorry)!
