1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
katen-ka-za [31]
2 years ago
14

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

Mathematics
2 answers:
Bad White [126]2 years ago
8 0

Answer:

The final answers are x = 1 OR x = -3.

Step-by-step explanation:

Given the equation is x^2 -3 = -2x

Rewriting it in quadratic form as:- x^2 +2x -3 = 0.

a = 1, b = 2, c = -3.

Using Quadratic formula as follows:- x = ( -b ± √(b² -4ac) ) / (2a)

x = ( -2 ± √(4 -4*1*-3) ) / (2*1)

x = ( -2 ± √(4 +12) ) / (2)

x = ( -2 ± √(16) ) / (2)

x = ( -2 ± 4 ) / (2)

x = (-2+4) / (2) OR x = (-2-4) / (2)

x = 2/2 OR x = -6/2

x = 1 OR x = -3

Hence, final answers are x = 1 OR x = -3.

butalik [34]2 years ago
8 0

Answer:

x=1 or x=-3

Step-by-step explanation:

Given equation is:

x²-3=-2x

We have to find the value of x.

x²-3=-2x

Adding 2x to both sides of above equation,we get

x²-3+2x=-2x+2x

x²+2x-3=0           eq(1)

ax²+bx+c=0 is general form of quadratic equation.

x= (-b±√b²-4ac)/2a is quadratic formula to find the value of x.

Comparing eq(1) with general quadratic equation,we get

a=1   b=2 and c=-3

Putting above values in quadratic formula,we get

x= (-2±√2²-4(1)(-3))/2(1)

x=(-2±√4+12)/2

x=(-2±√16)/2

x=(-2±4)/2

x=-2+4/2 or x=-2-4/2

x=2/2 or x=-6/2

x=1 or x=-3 is solution of given equation.


You might be interested in
In exercises 1 and 2, find m<1 and m<2. Tell which theorem you used in each case.
solniwko [45]

Answer:

m∠2 = 78°

Step-by-step explanation:

From the given picture,

lines 'm' and 'n' are the parallel lines and line 't' is the transverse line.

∠1 and angle with the measure of 78° are corresponding angles.

Therefore, m∠1 = 78°

m∠1 = m∠2 [Vertical angles are equal]

m∠2 = 78°

8 0
2 years ago
2. A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the triangle? Explain your reasonin
dolphi86 [110]

Answer:

Two possible lengths for the legs A and B are:

B = 1cm

A = 14.97cm

Or:

B = 9cm

A = 12cm

Step-by-step explanation:

For a triangle rectangle, Pythagorean's theorem says that the sum of the squares of the cathetus is equal to the hypotenuse squared.

Then if the two legs of the triangle are A and B, and the hypotenuse is H, we have:

A^2 + B^2 = H^2

If we know that H = 15cm, then:

A^2 + B^2 = (15cm)^2

Now, let's isolate one of the legs:

A = √( (15cm)^2 - B^2)

Now we can just input different values of B there, and then solve the value for the other leg.

Then if we have:

B = 1cm

A = √( (15cm)^2 - (1cm)^2) = 14.97

Then we could have:

B = 1cm

A = 14.97cm

Now let's try with another value of B:

if B = 9cm, then:

A = √( (15cm)^2 - (9cm)^2) = 12 cm

Then we could have:

B = 9cm

A = 12cm

So we just found two possible lengths for the two legs of the triangle.

4 0
3 years ago
The number of bags of mulch you need to cover a planting area varies jointly with the area to be mulched (a) in sq ft and the de
Lena [83]

Answer:

  22 2/9

Step-by-step explanation:

When z "varies jointly" with x and y, it can be described by the formula

   z = kxy

Here, we have bags of mulch (n) varying jointly with area (a) and depth (d), both in feet. The given information can let us find the value of k.

  n = kad

  10 = k·(120)(1/4)

  10/30 = k = 1/3 . . . . . divide by the coefficient of k

Now, we can fill in the other values of interest.

  n = (1/3)·(200)·(1/3) = 200/9

  n = 22 2/9

You need 22 2/9 bags of mulch to cover 200 ft² to a depth of 4 inches.

_____

<em>Comment on the problem</em>

This problem requires the formula be written with both area and depth expressed in feet, yet it gives depth in inches. The formula can also be written using depth in inches. In that case, k = 1/36.

8 0
2 years ago
How to solve this problem
Sveta_85 [38]
1) Find the value of x and y.

2) Then use the Order of Operations to help you out with the computation.
6 0
3 years ago
Read 2 more answers
The price of a gallon of milk was $2.65. The price rose y dollars after the last hurricane. Then the price dropped $0.15 and lat
elena55 [62]

Answer:

D

Step-by-step explanation:

So you start with $2.65 and a variable y. What we will do is work without the dollar and keep it for the end as it quite disturbs and work our way while keeping the y. So first we have 2.65. Now it rose by y so. The price = 2.65 + y. Then it dropped by 0.15. So 2.65 + y - 0.15. Here you see we have like terms so we reduce and get 2.50 + y. Now it rose by 0.05. So 2.50 + y + 0.05. Again, like terms, reduce. 2.55 + y. There you go with the answer.

3 0
2 years ago
Other questions:
  • I need all the answers please help me and show me step by step...please
    6·1 answer
  • 1) 6= 4 + 2<br> 4<br> Looking for a
    11·1 answer
  • You have 6 bracelets and 15 necklaces. Find the number of ways you can wear one bracelet and one necklace. There are ways to wea
    13·1 answer
  • If the streets of a city are straight lines and the intersections are points, show how Principle 2 and Principle 3 might be illu
    12·1 answer
  • The coach has to select 2 co-
    15·1 answer
  • Solve the equation 17=5k-3
    15·2 answers
  • Which graph represents the table below?<br> х<br> -1<br> 0<br> 1<br> y<br> 4<br> 1<br> -2
    7·1 answer
  • Solve for x, rounding to the nearest tenth if necessary.
    8·1 answer
  • Molly ate 1/4 pint of ice-cream. Her sister did not want the last 2/4 pint of her own ice-cream, so Molly ate it. How much ice-c
    7·1 answer
  • HELP ASAP, i don't get this
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!