All categories

3 years ago

Solve this quadratic equation by completing the square. x^2+10x=7

1 answer:

3 0

Ok, so the quadratic coefient is 1, so great

take 1/2 of the linear coefient and square it
10/2=5, (5)^2=25
add that to both sides
x^2+10x+25=7+25
factor perfect square trionomial
(x+5)^2=32
squaer root both sides
x+5=+/-4√2
minus 5
x=-5+/-4√2

x=-5+4√2 and -5-4√2

You might be interested in

Which of the following is a reasonable estimated answer to the following problem?

bulgar [2K]

$989,867 \approx 1,000,000$
$999 \approx 1000$

$\implies \frac{989,867}{999} \approx \frac{1,000,000}{1000}$
$\frac{1,000,000}{1000} = 1000$

So the answer is approximately 1000.

4 0

3 years ago

Read 2 more answers

Imagine a deck of 500 cards numbered from 1 to 500. If all the cards are shuffled randomly and you are asked to pick three cards

amm1812

Answer:

P = 1 / 6

Step-by-step explanation:

Given:-

- A deck has 500 cards

- Numbered from 1-500

Find:-

you are asked to pick three cards, one at a time, what's the probability of each subsequent card being larger than the previous drawn card

Solution:-

- Suppose we draw three cards. We don't care what they actually are, irrespective of number.

- Let the three numbers be a, b, c: Such that:

a < b < c.

- The total possible combinations with 3 numbered cards will be:

a b c

b a c

a c b

b a c

b c a

c a b

- We have 6 possibilities for 3 numbered cards. So the probability of of each subsequent card being larger than the previous drawn card would be:

P = 1 / possible combinations

P = 1 / 6

6 0

3 years ago

Lines c and d are parallel lines cut by the transverse p which must be true by the corresponding angle theorem

dusya [7]

Pairs of corresponding angles are congruent.

3 0

3 years ago

Read 2 more answers

HELPP!!! Ali is competing in a 10-meter high diving event. When he dives, he reachers a maximum height of 12 meters and travels

Andrew [12]

Answer: 56

Step-by-step explanation:

1. 10+12=22

2. 22+3.4= 56

+34

5 6

56 is your anwser

7 0

3 years ago

What value make the statement true? -4x+5 >17 x=4 X=-4 X=-2 X=-3

QveST [7]

Answer:

-4

Step-by-step explanation:

-4(-4) + 5 > 17

16 + 5 = 21 > 17

4 0

3 years ago