All categories

3 years ago

Solve for x.6x^2=4x+10

Mathematics

1 answer:

Agata [3.3K]3 years ago

6 0

Answer:

$x=-1,\displaystyle \frac{5}{3}$

Step-by-step explanation:

Hi there!

$6x^2=4x+10$

Move 6x^2 to the other side of the equation:

$0=-6x^2+4x+10$

Divide both sides by -2:

$0=3x^2-2x-5$

Factor by grouping:

$0=3x^2+3x-5x-5\\0=3x(x+1)-5(x+1)\\0=(3x-5)(x+1)$

Apply the zero product property:

$3x-5 = 0\\3x=5\\\\x=\displaystyle \frac{5}{3}$

$x+1=0\\x=-1$

Therefore, x = -1, 5/3.

I hope this helps!

You might be interested in

Solve for x: 3(x + 1) = -2(x - 1) - 4

shepuryov [24]

Answer:

x = -1

Step-by-step explanation:

3(x+1) = -2(x-1) - 4

3x + 3 = -2x + 2 - 4

3x + 3 = -2x - 2

Add the -2x to both sides

5x + 3 = -2

Subtract the 3 to both sides

5x = -5

Divide both sides by 5

x = -1

4 0

3 years ago

The hare challenged the tortoise to a race from the water fountain to the park bench. In order to ensure a fair race, the tortoi

BabaBlast [244]

A. I believe the hare never catches up to the tortoise
B. The hare waited 50 minutes before walking
C. The tortoise won the race

5 0

3 years ago

Pls help me this is hard!!!!

horrorfan [7]

I think it’s 6
Sorry if I’m wrong

6 0

4 years ago

Read 2 more answers

To celebrate there 125 anniversary, a company in Germany produced 125 very expensive teddy bears. The bears,known as the "125 ka

liq [111]

Answer:

The cost of one bear is <u>$47,000</u>.

Step-by-step explanation:

The question is incomplete and the data is missing so the complete question with data is below with attached files:

To celebrate there 125 anniversary, a company in Germany produced 125 very expensive teddy bears. The bears,known as the "125 karat teddy bears", are made mohair,silk and gold thread and have diamond and sapphire eyes.

The chart shows the approximate cost of " 125 teddy bears". Based on the pattern, how much does one bear cost?

Now, to get the cost of one bear.

So, we solve it by using unitary method:

If 4 bears cost = $188,000.

Then 1 bear cost = $188000\div 4=47000$

Thus, cost of one bear is $47,000.

Now, we check it by using another pattern of the data:

If 7 bears cost = $329,000.

Then 1 bear cost = $329000\div 7=47000.$

Hence, the cost of one bear is $47,000.

Therefore, the cost of one bear is $47,000.

8 0

3 years ago

The sum of three consecutive integers is −42. find the three integers.

erica [24]

Let the integers be x - 1, x and x + 1, then
x - 1 + x + x + 1 = -42
3x = -42
x = -42/3 = -14

The three consectutive integers are -15, -14 and -13

4 0

3 years ago