All categories

3 years ago

Rewrite the equation by completing the square. 4x2 + 28x + 49 = 0 (x+) =

Mathematics

1 answer:

Vlada [557]3 years ago

4 0

Answer: x = - 3.5

Step-by-step explanation:

Rewrite the equation by completing the square.

4x2 + 28x + 49 = 0

Completing the square method :

Divide through by the Coefficient of x^2

x^2 + 7x + (49/4) = 0

a = 1, b = 7, c = 49/4

Move c to the right side of the equation

x^2 + 7x = - 49/4

Complete the square on the left hand side by squaring its half of the x term

(7/2)^2 = (49/4)

Add the output to both sides of the equation

x^2 + 7x + (49/4) = - (49/4) + (49/4)

(x + 7/2)^2 = 0

Square root of both sides

x + 7/2 = 0

x = - 7/2

x = - 3.5

You might be interested in

Find the circumference of a circle with an area of 615.75 square inches.

Fittoniya [83]

A=pie×radius squared is the area formula of a circle. The circumference formula or a circle is C=pie×diameter. 615.75=(3.14)(radius) squared. Divide both sides by the 3.14. What ever 615.75 divided by 3.14 is-is radius squared. The square root is your radius. The radius is half the diameter, so double what you have right now as the radius to get the diameter. Now since C=pie×diameter, your circumference is your pie×your diameter. Whatever your answer is-is your circumference.

3 0

3 years ago

Students are running in a relay race. Each team will run a total of 3 miles. Each member of a team will run 1/8 of a mile. How m

Crazy boy [7]

3 / (1/8) = 3 × (8/1) = 24
There needs to be 24 students on a team.

7 0

3 years ago

Please help me, this is due in 2 hours and I need this done plz.

bija089 [108]

Answer:

It's probably it

Step-by-step explanation:

A = (-4, -2)

B = (1, 6)

Imagine a new point (C) where they intersect (1, -2)

Now we can form a triangle, the distance between A and B will be the hypotenuse.

h² = 5² + 8²

h² = 25 + 64

h² = 89

h = $\sqrt{89}$

h = ~9.43...

h = 9

5 0

2 years ago

I WILL GIVE BRAINLIEST FOR RIGHT ANSWER

Talja [164]

Answer:

The answer is 1.5

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which is equivalent to sin^-1(tan(pi/4)) ? Give your answer in radians.

aleksklad [387]

We are to find the value of $sin^{-1}(tan( \frac{ \pi }{4}))$

First we evaluate tan(π/4). The value of tan(π/4) is 1.

So,

$sin^{-1}(tan( \frac{ \pi }{4})) =sin^{-1} (1)$

sin(π/2) = 1
So,
$sin^{-1}(1)= \frac{ \pi }{2}$

Thus, we can write:

$sin^{-1}(tan( \frac{ \pi }{4}))= \frac{ \pi }{2}$ radians.

So, the answer to this question is π/2 radians.

6 0

3 years ago

Read 2 more answers