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Sergio039 [100]
3 years ago
9

Can someone please help me like fast??

Mathematics
1 answer:
pshichka [43]3 years ago
6 0
Answer:125.03
Explanation: The rounded side of the numeral expands to the width of the line causing-
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In ΔXYZ, x = 1.4 cm, z = 2 cm and ∠Z=37°. Find all possible values of ∠X,
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Solve each quadratic equation by completing the square. Give exact answers--no decimals.
Sholpan [36]

Answer:

x_1 = -2 + 2i\\\\x_2 = -2 -2i

Step-by-step explanation:

In this problem we have the equation of the following quadratic equation and we want to solve it using the method of square completion:

7x ^ 2 + 28x +56 = 0

The steps are shown below:

For any equation of the form: ax ^ 2 + bx + c = 0

1. If the coefficient a is different from 1, then take a as a common factor.

In this case a = 7. Then:

7(x ^ 2 + 4x) = -56

2. Take the coefficient b that accompanies the variable x. In this case the coefficient is 4. Then, divide by 2 and the result squared it.

We have:

\frac{4}{2} = 2\\\\(\frac{4}{2})^2 = 4

3. Add the term obtained in the previous step on both sides of equality, remember to multiply by the common factor a = 7:

7(x ^ 2 + 4x + 4) = -56 + 7(4)

4. Factor the resulting expression, and you will get:

7(x + 2) ^ 2 = -28

Now solve the equation:

Note that the term 7(x + 2) ^ 2 is always > 0 therefore it can not be equal to -28.

The equation has no solution in real numbers.

In the same way we can find the complex roots:

7(x+2)^2 = -28\\\\(x+2)^2 = -\frac{28}{7}\\\\x+2 = \sqrt{-\frac{28}{7}}\\\\x = -2 + \sqrt{-4}\\\\x = -2 + 2\sqrt{-1}\\\\x_1 = -2 + 2i\\\\x_2 = -2 -2i

4 0
4 years ago
Read 2 more answers
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