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Alchen [17]
3 years ago
9

What is the intermediate step in the form (x+a)^2=b(x+a)

Mathematics
1 answer:
Step2247 [10]3 years ago
7 0

Answer:

The intermediate step are;

1) Separate the constants from the terms in x² and x

2) Divide the equation by the coefficient of x²

3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression

Step-by-step explanation:

The function given in the question is 6·x² + 48·x + 207 = 15

The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;

6·x² + 48·x + 207 = 15

We get

1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192

6·x² + 48·x = -192

2) Dividing by 6 x² + 8·x = -32

3) Add the constant that completes the square to both sides

x² + 8·x + 16 = -32 +16 = -16

x² + 8·x + 16 = -16

4) Factorize (x + 4)² = -16

5) Compare (x + 4)² = -16 which is in the form (x + a)² = b

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Which expression is NOT equivalent to −3/8·(−4+1/2)?<br><br><br> Drag this expression to the box.
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Answer:

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Step-by-step explanation:

Original expression

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First option    -3/8 (-4)  + (3/8)(1/2)       This option is not equivalent because

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Second option (-3/8)(-4) + (-3/8)(1/2)    This option is equivalent to the

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Which graph models the equation 2x + 3y = 6?
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b is y intercept, so the graph crosses the point (0, 6)

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