All categories

3 years ago

Enter the correct answer in the box. What are the solutions of this quadratic equation?

Mathematics

1 answer:

IrinaVladis [17]3 years ago

5 0

Answer:

x = 3 + 7i or x = 3 - 7i; a = 3; b = 7

Step-by-step explanation:

x^2 - 6x = -58

We complete the square by adding the square of half of the coefficient of the x-term to both sides.

x^2 - 6x + 9 = -58 + 9

(x - 3)^2 = -49

$x - 3 = \pm 7i$

x = 3 + 7i or x = 3 - 7i

a = 3; b = 7

You might be interested in

Round 10.95 to the nearest tenth

Serhud [2]

Hi there! To round 10.95 to the nearest tenth, we find the number in the tenth place, which is 9 and look one place to the right. Round up if the number is greater than 5 or equal to 5 and round down if its less than 5.

The answer is 11.0 or just 11.

Ed: Explanation below.

11.00

10.99

10.98

10.97

10.96

10.95 Look at the 9. Then look to the right. Do I round up or down?

10.94

10.93

10.92

10.91

10.90

If the number is greater or equal to 5, you round up. If the number is smaller than 5, you round down. 9 is greater than 5, so we round up.

Therefore, the answer is 11.

5 0

3 years ago

Uh could you please help-

tamaranim1 [39]

I think it would be the second answer but I’m not positive

7 0

4 years ago

Classify each number according to which sets of numbers it belongs in:

True [87]

Answer:

Natural, integer, rational: 10, 9, $3(12-\frac{2}{2})$

Integer, rational: -6

Rational: 3.7, 3.3333333

Irrational: $\pi$ , 1.41421356

Step-by-step explanation:

Given numbers:

$10,\pi, -6, 3.3333333333, 9, 3.7, 3(12-2/2),1.41421356$

To classify them in natural integer, whole rational or irrational numbers.

Solution:

Natural numbers are whole numbers stating from 1.

{1,2,3,4,5,6..........}

Whole numbers are integers starting from 0.

{0,1,2,3,4,5...........}

Integers are all real numbers that do not include decimals or fractions.

{.............-4,-3,-2,-1,0,1,2,3,4.........}

Rational numbers are those numbers which can be represented as fraction of whole numbers. For example:

$-1.5=-\frac{3}{2}$

$0.1111.....=\frac{1}{9}$

$5=\frac{5}{1}$

Irrational numbers are those numbers which cannot be represented as simple fractions.

Based on the above definitions, we can classify numbers.

1) 10

Natural, Integer, Rational

2) $\pi$

Irrational

3) -6

Integer, Rational

4) 3.33333333333

Rational

5) 9

Natural, Integer, Rational

6) 3.7

Rational

7) $3(12-\frac{2}{2})=3(12-1)=3(11)=33$

Natural, Integer, Rational

8) 1.41421356

Irrational

3 0

3 years ago

73 = −6(k − 7) + 6(k + 5)

alexandr402 [8]

Answer: 7

Step-by-step explanation: Mark me brain and 5 stars and a thank you

3 0

3 years ago

Read 2 more answers

The rate is 320 feet per hour, 320 feethour . The hiking team descended the mountain from 1 pm to 5 pm. The net change is a ____

deff fn [24]

Answer:

The correct answer is "decrease, 1,280 feet".

Step-by-step explanation:

The given values are:

Rate or speed,

= 320 feet per hour

1 pm to 5 pm means,

t = 5 - 1

= 4 hours

Now,

The net change in distance will be:

⇒ $\Delta D=-320\times 4 \ feet$

⇒ $=-1280 \ feet$

Thus the above is the correct approach.

8 0

3 years ago