For Exercises 123–132, write an equation with integer coefficients and the variable x that has the given solution set. [ Hint : Apply the zero product property in reverse. For example, to build an equation whose solution set is { 2 , − 5 2 } we have ( x − 2 ) ( 2 x + 5 ) = 0 , or simply 2 x 2 + x − 10 = 0 .] { 2 , − 2 }
For Exercises 123–132, write an equation with integer coefficients and the variable x that has the given solution set. [ Hint : Apply the zero product property in reverse. For example, to build an equation whose solution set is { 2 , − 5 2 } we have ( x − 2 ) ( 2 x + 5 ) = 0 , or simply 2 x 2 + x − 10 = 0 .] { 2 , − 2 }
Solution Summary: The author explains how the equation with integer coefficients and variable x is x2-2=0.
For Exercises 123–132, write an equation with integer coefficients and the variable x that has the given solution set. [Hint: Apply the zero product property in reverse. For example, to build an equation whose solution set is
{
2
,
−
5
2
}
we have
(
x
−
2
)
(
2
x
+
5
)
=
0
, or simply
2
x
2
+
x
−
10
=
0
.]
Answer the number questions with the following answers
+/- 2 sqrt(2)
+/- i sqrt(6)
(-3 +/-3 i sqrt(3))/4
+/-1
+/- sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
1
Matching 10 points
Factor and Solve
1)x3-216 0, x = {6,[B]}
2) 16x3 = 54 x-[3/2,[D]]
3)x4x2-42 0 x= [ +/-isqrt(7), [F] }
4)x+3-13-9x x=[+/-1.[H]]
5)x38x2+16x=0, x = {0,[K}}
6) 2x6-10x-48x2-0 x-[0, [M], +/-isqrt(3))
7) 3x+2x²-8 x = {+/-i sqrt(2), {Q}}
8) 5x³-3x²+32x=2x+18 x = {3/5, [S]}
[B]
[D]
[F]
[H]
[K]
[M]
[Q]
+/-2 sqrt(2)
+/- i sqrt(6)
(-3+/-3 i sqrt(3))/4
+/- 1
+/-sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
[S]
The only problems I need help with ae the last 8 ones, Thanks
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