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emmainna [20.7K]
3 years ago
12

- x² - 4x + 12 = 0 how do u solve by completing the square​

Mathematics
1 answer:
MrRa [10]3 years ago
8 0

Answer:

0

Step-by-step explanation:

Simplifying

x2 + -4x + -12 = 0

Reorder the terms:

-12 + -4x + x2 = 0

Solving

-12 + -4x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-2 + -1x)(6 + -1x) = 0

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Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers
slamgirl [31]

Answer:

The unit vector in component form is \hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right) or \hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j.

Step-by-step explanation:

Let be \vec u = (2,-3), its unit vector is determined by following expression:

\hat {u} = \frac{\vec u}{\|\vec u \|}

Where \|\vec u \| is the norm of \vec u, which is found by Pythagorean Theorem:

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The unit vector in component form is \hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right) or \hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j.

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