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Norma-Jean [14]
3 years ago
15

Please tell me fast.

Mathematics
1 answer:
Damm [24]3 years ago
6 0

Let's solve for a.

p

x

=

x

4

+

a

x

3

+

2

x

2

−

3

x

+

b

Step 1: Flip the equation.

a

x

3

+

x

4

+

2

x

2

+

b

−

3

x

=

p

x

Step 2: Add -x^4 to both sides.

a

x

3

+

x

4

+

2

x

2

+

b

−

3

x

+

−

x

4

=

p

x

+

−

x

4

a

x

3

+

2

x

2

+

b

−

3

x

=

−

x

4

+

p

x

Step 3: Add -2x^2 to both sides.

a

x

3

+

2

x

2

+

b

−

3

x

+

−

2

x

2

=

−

x

4

+

p

x

+

−

2

x

2

a

x

3

+

b

−

3

x

=

−

x

4

+

p

x

−

2

x

2

Step 4: Add 3x to both sides.

a

x

3

+

b

−

3

x

+

3

x

=

−

x

4

+

p

x

−

2

x

2

+

3

x

a

x

3

+

b

=

−

x

4

+

p

x

−

2

x

2

+

3

x

Step 5: Add -b to both sides.

a

x

3

+

b

+

−

b

=

−

x

4

+

p

x

−

2

x

2

+

3

x

+

−

b

a

x

3

=

−

x

4

+

p

x

−

2

x

2

−

b

+

3

x

Step 6: Divide both sides by x^3.


a

x

3

x

3


=


−

x

4

+

p

x

−

2

x

2

−

b

+

3

x

x

3


a

=


−

x

4

+

p

x

−

2

x

2

−

b

+

3

x

x

3



Answer:

a

=


−

x

4

+

p

x

−

2

x

2

−

b

+

3

x

x

3




Now solving for B:


p

x

=

x

4

+

a

x

3

+

2

x

2

−

3

x

+

b

Step 1: Flip the equation.

a

x

3

+

x

4

+

2

x

2

+

b

−

3

x

=

p

x

Step 2: Add -x^4 to both sides.

a

x

3

+

x

4

+

2

x

2

+

b

−

3

x

+

−

x

4

=

p

x

+

−

x

4

a

x

3

+

2

x

2

+

b

−

3

x

=

−

x

4

+

p

x

Step 3: Add -ax^3 to both sides.

a

x

3

+

2

x

2

+

b

−

3

x

+

−

a

x

3

=

−

x

4

+

p

x

+

−

a

x

3

2

x

2

+

b

−

3

x

=

−

a

x

3

−

x

4

+

p

x

Step 4: Add -2x^2 to both sides.

2

x

2

+

b

−

3

x

+

−

2

x

2

=

−

a

x

3

−

x

4

+

p

x

+

−

2

x

2

b

−

3

x

=

−

a

x

3

−

x

4

+

p

x

−

2

x

2

Step 5: Add 3x to both sides.

b

−

3

x

+

3

x

=

−

a

x

3

−

x

4

+

p

x

−

2

x

2

+

3

x

b

=

−

a

x

3

−

x

4

+

p

x

−

2

x

2

+

3

x


Answer:

b

=

−

a

x

3

−

x

4

+

p

x

−

2

x

2

+

3

x




Answer for A: a = -x4 + px - 2 x 2 - b + 3x x 3

Answer for B: b = -ax3 - x4 + px - 2x2 + 3x

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