All categories

3 years ago

Dicriminant of x² – 49 = 0

Mathematics

1 answer:

Mama L [17]3 years ago

6 0

Answer:

196

Step-by-step explanation:

The discriminant (Δ) is given by:

$\Delta = b^2-4ac$

Where the polynomial is in the form:

$ax^2+bx+c=0$

In this problem, a = 1, b = 0, and c = -49. Thus, plugging it into the formula:

$\Delta = 0^2-4(1)(-49) = -(-196) = 196$

Thus, the discriminant of x² – 49 = 0 is 196.

You might be interested in

Transform the following polar equation into an equation in rectangular coordinates: r=2 cos theta A. x + y = 2 B. y = 2x C. x =

Mila [183]

$r=2\cos\theta$
$r^2=2r\cos\theta$
$\implies x^2+y^2=2x$
$x^2-2x+y^2=0$
$x^2-2x+1+y^2=1$
$(x-1)^2+y^2=1$

8 0

3 years ago

Read 2 more answers

I need to know what m n and q are equal to

VMariaS [17]

I know m=2.25 and n=8.6 but I don't know about q.

3 0

3 years ago

Let

kow [346]

Answer:

can write it again soon as you can do it again

6 0

2 years ago

What are the coordinates of S?

ehidna [41]

Answer:

(-2,6) is the codinates of S

3 0

3 years ago

Determine if (-2,6) and (4,12) are solutions to the system of equations:

kykrilka [37]

Answer:

Both $(-2,6)$ and $(4,12)$ are solutions to the system.

Step-by-step explanation:

In order to determine whether the two given points represent solutions to our system of equations, we must "plug" thos points into both equations and check that the equality remains valid.

Step 1: Plug $(-2,6)$ into $y=x+8$

$(6) = (-2)+8 = 6$

The solution verifies the equation.

Step 2: Plug $(-2,6)$ into $2y=x^2 + 8$

$2(6) = (-2)^2+8=4+8=12$

The solution verifies both equations. Therefore, $(-2,6)$ is a solution to this system.

Now we must check if the second point is also valid.

Step 3: Plug $(4,12)$ into $y=x+8$

$(12) = (4)+8 = 12$

Step 4: Plug $(4,12)$ into $2y=x^2 + 8$

$2(12) = (4)^2+8=16+8=24$

The solution verifies both equations. Therefore, $(4,12)$ is another solution to this system.

3 0

3 years ago