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Oksanka [162]
2 years ago
8

Which statement best describes why there is no real solution to the quadratic equation y = x2 - 6x + 13?

Mathematics
2 answers:
NeX [460]2 years ago
7 0

Answer:

C.

Step-by-step explanation:

y=x^2-6x+13 when compared to y=ax^2+bx+c tells us:

a=1

b=-6

c=13.

The discriminant, b^2-4ac tells how many real solutions we will have.

If b^2-4ac is zero then you have one real solution.

If b^2-4ac is positive then you have two real solutions.

If b^2-4ac is negative then you have no real solutions.

b^2-4ac

(-6)^2-4(1)(13)

36-4(13)

36-52

-16

Our discriminant is negative, so we have no real solutions.

The answer you are looking for is the one that says your discriminant is negative which is C.

seropon [69]2 years ago
4 0

Answer:

Step-by-step explanation:

Next time, please share the possible answers.  Thanks.

Here the coefficients are a = 1, b = -6 and c = 13.  Let's calculate the determinant b^2 - 4ac:  d = (-6)^2 - 4(1)(13) ) = 36 -52 = -16.

Because the determinant is negative, this quadratic has only complex roots.  The third answer applies here.

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Daniel [21]

The solution for equation is x = -6

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

5(x-2) + (-9) = -7(1-x)

We have to solve the equation

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right

Therefore, solve for brackets in given equation

5(x-2) + (-9) = -7(1-x)\\\\5x - 10 -9 = -7 + 7x

Solve for terms in left hand side of equation

5x - 19 = -7+7x

Move the variables to one side and constants to other side

7x -5x = -19+7\\\\2x = -12\\\\Divide\ both\ sides\ by\ 2\\\\x = -6

Thus the solution for equation is x = -6

8 0
2 years ago
Please help me hurry please
aalyn [17]

Answer:

y = root under 24 (evaluate it if necessary)

or y = 2 root 6

Step-by-step explanation:

Let the reference angle be x

for the triangle in left,

b = 6-4 = 2

Now,

taking x as refrence angle,

cosx = b/h

or, cosx = 2/h

again,

for the bigger triangle,

taking x as reference angle,

cosx = b/h

or, cosx = b/6

As we can see base of bigger triangle is equal to hypotenuse of triangle at the left,

Let's suppose its a

so, cosx = a/6 = 2/a

now,

a/6 = 2/a

or, a² = 12

now,

for bigger triangle, using pythagoras theorem,

h² = p²+b²

or, 6² = y² + a²

or, 36 = y² + 12

or, y² = 24

so, y = root under 24

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maria [59]

Answer:

470 cm³

Step-by-step explanation:

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⇒ Volume of whole rectangular prism = 9 cm × 10 cm × 8 cm

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⇒ Volume of the missing piece = 5 cm × 10 cm × 5 cm

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Answer:

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-8 - 3.9 = -11.9

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