2x2 + 6x + 5 = 0 what are the real roots for the quadratic equation  

Answers

Answer 1
Answer: 2x^2 + 6x + 5 = 0

x= (-b+/- √(b^2 -4ac) )/(2a)

x= (-(6)+/- √((6)^2 -4(2)(5)) )/(2(2))

x= (-6+/- √(36 -40) )/(4)

x= (-6+/- √(-4) )/(4)

x= (-6+/- i√(4) )/(4)

x= (-6+/- 2i )/(4)

NO REAL ROOTS
Answer 2
Answer: 2x^2+6x+5=0\ \ \ \ /:2\n\nx^2+3x+2.5=0\n\nx^2+2x\cdot1.5=-2.5\n\nx^2+2x\cdot1.5+1.5^2-1.5^2=-2.5\n\n(x+1.5)^2-2.25=-2.5\n\n(x+1.5)^2=-2.5+2.25\n\n(x+1.5)^2=-0.25 < 0\ aren't\ real\ roots\ because\ for\ x\in\mathbb{R},\ a^2\geq0

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Factor by grouping. Step by step appreciated

Answers

Answer:

(x^2+8) ( y+4)

Step-by-step explanation:

x^2y + 8y+ 4x^2 +32

Splitting into two groups

x^2y + 8y+      4x^2 +32

Factor y out of the first group  and 4 out of the second group

y( x^2+8)    + 4(x^2+8)

Factor out (x^2+8)

(x^2+8) ( y+4)

Answer:

(x^2+4)(y+3)

Step-by-step explanation:

x^2y+4y+3x^2+12

factor by grouping

=x^2y+4y + 3x^2+12

left. right

take common in left y and in right 3

=y(x^2+4) + 3(x^2+4)

now common term is (x^2+4)

=(x^2+4) (y+3) answer

Which function in vertex form is equivalent to f(x) = x2 + 8 – 16x?A.f(x) = (x – 8)2 – 56
B.f(x) = (x – 4)2 + 0
C.f(x) = (x + 8)2 – 72
D.f(x) = (x + 4)2 – 32

Answers

f(x) = x² + 8 - 16x

I'll rearrange it using y and x.

y = x² - 16x + 8
y - 8 = x² - 16x
y - 8 + 64 = x² - 16x + 64
y + 56 = (x-8)²
y = (x-8)² - 56

(x - 8)(x - 8) = x(x-8) - 8(x-8) = x² - 8x -8x + 64 = x² - 16x + 64

Choice A.) f(x) = (x-8)² - 56

By completing the square, the function in vertexform f(x) = (x - 8)² - 56 is equivalent to the function in standardform f(x) = x² + 8 - 16 · x. (Correct choice: A)

How to determine the vertex of the quadratic function by algebraic means

In this question we must transform a quadraticfunction in standardform into vertexform. An analytical approach is completing the square, which consists in transforming part of the polynomial into a perfect squaretrinomial. Now we proceed to present the procedure:

1) x² + 8 - 16 · x     Given

2) x² - 16 · x + 8    Commutative property

3) x² - 16 · x + 64 - 56     Modulative property/Existence of additive inverse/Definition of addition

4) (x - 8)² - 56     Associative property/Perfect square trinomial/Result

By completing the square, the function in vertexform f(x) = (x - 8)² - 56 is equivalent to the function in standardform f(x) = x² + 8 - 16 · x. (Correct choice: A)

To learn more on quadratic functions: brainly.com/question/5975436

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Solve for x.

4x + 5 = 25

Answers

The value of x of equation 4x + 5 = 25 is 5.

What is linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

Given,

4x + 5 = 25

First subtract 5 from both sides,

4x + 5-5 = 25-5

4x=20

Now divide both sides by 4,

x=5

Hence, the value of x of equation 4x + 5 = 25 is 5.

Learn more about linear equation

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First subtract 5 from both sides.  
4x=20
Now divide both sides by 4.
x=5

What is the correct answer, HELP PLEASE!!​

Answers

Answer:

CDB

Step-by-step explanation:

in this problem, it goes in order from one dash, no dash, 2 dashes. So, just follow the pattern it gives you.

CDB i believe :))))) akstsjeguey

If two figures are similar, the resulting corresponding angles are always enlarged reduced congruent similar

Answers

If two figures are similar, the resulting corresponding angles are CONGRUENT.

Congruent means exactly equal in size and shape. Congruent angles have the exact same measure. 

Two figures are similar when its corresponding angles have the same exact measure.

the answer is congruent. I just took the quiz and I got it right hope this helps!

one person can paint a room in 5 hours and the other takes 8 hours working together how long will it take the two of them if they're working together please work the problem out and explain it to me

Answers

ok so find how much work each can do per hour

irst person is 5 hours to do all room
therefor
1 hour=1/5 room

2nd person takes 8 hours to do all room
therefor
1 hour=1/8 room

since working together, add times

1 hour=1/5+1/8
make denoms same
1hour=8/40+5/40=13/40

13/40 room times x hours=1 whole room
multiply both sides by 40/13 to cleaf raction (13/40 times 40/13=520/520=1)

xhours=40/13hours
xhours=3 and 1/13 hours