Next step is to factor the trinomial. For that, break down the constant -6 into two multiples so that their addition will result the coefficient of y =-1.

So, 6 = -3* 2

And sum of -3 and 2 will give -1.

Therefore, we can replace -y with -3y + 2y. So,

y² - 3y + 2y - 6 =0

(y² - 3y) + (2y - 6) =0 Make the group of terms.

y(y - 3)+ 2(y -3) =0 Take out the common factor from each group.

(y - 3 ) (y + 2) = 0 Take out the common factor (y - 3).

So, y - 3 = 0 and y + 2 =0 Equate both factor equal to 0.

Hence, y = 3 and -2.

So, $e^x = 3 , e^x=-2$

$lne^x =ln 3 , lne^x=ln(-2)$ Taking ln to each sides.

So, x = ln 3

But ln (-2) is not defined.

So, x = ln (3) is the real solution of the given equation.

6 0

3 years ago

For thanksgiving, you made 32 cupcakes. How many cupcakes were leftover if your family ate 3/4 of them?

Anvisha [2.4K]

All you need to do is divide 32 by 4.

32/4= 8

So, 3*8= 24 (that is 3/4 of the cupcakes)

32-24= 8

8 is the answer.

I hope this helps!

Brainliest answer is always appreciated!

4 0

3 years ago

Read 2 more answers

The first six multiples of 6

jeyben [28]

6, 12, 18, 24, 30, 36

4 0

3 years ago

sally's $1800 savings is in two accounts.Her total interest for the year was $93 from one account earning 6% interest and anothe

myrzilka [38]

Answer:

$500 invested at 3%