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DochEvi [55]
3 years ago
7

Leah is writing an equivalent equation which solves for y. What should be her next step?

Mathematics
1 answer:
koban [17]3 years ago
7 0
It would be 4y=8-3x.

So you will divide 4 by y then 4 by 8-3x
which will give you   y= -3/4x +2.

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13. f(x) = x^4<br> - 9x2 -22x - 24
Anna007 [38]

Answer:

x = 4 or x = -2

Step-by-step explanation:

Solve for x over the real numbers:

x^4 - 9 x^2 - 22 x - 24 = 0

The left hand side factors into a product with three terms:

(x - 4) (x + 2) (x^2 + 2 x + 3) = 0

Split into three equations:

x - 4 = 0 or x + 2 = 0 or x^2 + 2 x + 3 = 0

Add 4 to both sides:

x = 4 or x + 2 = 0 or x^2 + 2 x + 3 = 0

Subtract 2 from both sides:

x = 4 or x = -2 or x^2 + 2 x + 3 = 0

Subtract 3 from both sides:

x = 4 or x = -2 or x^2 + 2 x = -3

Add 1 to both sides:

x = 4 or x = -2 or x^2 + 2 x + 1 = -2

Write the left hand side as a square:

x = 4 or x = -2 or (x + 1)^2 = -2

(x + 1)^2 = -2 has no solution since for all x on the real line, (x + 1)^2 >=0 and -2<0:

Answer:  x = 4 or x = -2

3 0
3 years ago
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