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LenKa [72]
3 years ago
10

A^2-b^2+4b-4 please solve it step by step i will mark you brainlest

Mathematics
1 answer:
alex41 [277]3 years ago
3 0

Answer:

b = a + 2 or b = 2 - a

Step-by-step explanation:

Solve for b:

-4 + a^2 + 4 b - b^2 = 0

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

(2 + a - b) (-2 + a + b) = 0

Split into two equations:

2 + a - b = 0 or -2 + a + b = 0

Subtract a + 2 from both sides:

-b = -a - 2 or -2 + a + b = 0

Multiply both sides by -1:

b = a + 2 or -2 + a + b = 0

Subtract a - 2 from both sides:

Answer:

b = a + 2 or b = 2 - a

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Answer:

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Step-by-step explanation:

Here we're asked to rewrite the given equation f(t) = 4t^2 − 8t + 6 in the form f(t) = a(t - h)^2 + k (which is known as the "vertex form of the equation of a parabola.")  Here (h, k) is the vertex and a is a scale factor.

Let's begin by factoring 4 out of all three terms:

f(t) = 4 [ t^2 - 2t + 6/4 ]

Next, we must "complete the square" of t^2 - 2t + 6/4; in other words, we must re-write this expression in the form (t - h)^2 + k.

(To be continued)

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