All categories

3 years ago

Show that x^2 + 5x = 3

Mathematics

1 answer:

Inessa05 [86]3 years ago

8 0

Answer:

$area = length \times width \\ 9 = (x + 3)(x + 2) \\ {x}^{2} + 2x + 3x + 6 = 9 \\ {x}^{2} + 5x + 6 = 9 \\ {x}^{2} + 5x + (6 - 9) = 0 \\ {x}^{2} + 5x =3$

You might be interested in

What are the coordinates of the point LaTeX: \frac{3}{4}\:3 4of the way from A to B? coordinate plane with line segment AB. Poin

egoroff_w [7]

Answer: $\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$ .

Step-by-step explanation:

It is given that Point A is at (-5, -4) and point B at (-3, 3).

We need to find the coordinates of the point which is 3/4 of the way from A to B.

Let the required point be P.

$AP:AB=3:4$

$AP:PB=AP:(AB-AP)=3:(4-1)=3:1$

It means, point P divides segment AB in 3:1.

Section formula: If a point divides a line segment in m:n, then

$\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Using section formula, we get

$P=\left(\dfrac{3(-3)+1(-5)}{3+1},\dfrac{3(3)+1(-4)}{3+1}\right)$

$P=\left(\dfrac{-9-5}{4},\dfrac{9-4}{4}\right)$

$P=\left(\dfrac{-14}{4},\dfrac{5}{4}\right)$

$P=\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$

Therefore, the required point is $\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$ .

6 0

3 years ago

How are you today? <br>Take some time to reflect on your day! <br>Have a great day!

PolarNik [594]

Answer:

I am good!

Step-by-step explanation:

Have a fantastic day!

6 0

3 years ago

Read 2 more answers

Solve for x 3x-8/2=x - 6

Liula [17]

Answer: X=-1

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The zoo needs to replace some of the railroad tracks that support their train ride. The total length of the track is 500 feet,

Darya [45]

Answer:

293 feet.

Step-by-step explanation:

Their track is 500 feet, and there are three sections. Add these sections(61+83+63=207) and subtract from the total(500-207=293)

3 0

2 years ago

I need help with Two-Step equations. Can I get some.

makvit [3.9K]

What your question i can help you

3 0

3 years ago