All categories

3 years ago

PLEASE PLEASE PLEASE HELP Find the value of the discriminant. Then describe the number and type of roots for the equation.

Mathematics

1 answer:

Ray Of Light [21]3 years ago

5 0

ANSWER

The discriminant is 384. Because the discriminant is greater than 0 and is not a perfect square, the two roots are real and irrational.

EXPLANATION

The given quadratic equation is:

$- 3 {x}^{2} - 18x + 5 = 0$

We compare this equation to:

$a {x}^{2} + bx + c = 0$

We have a=-3,b=-18, and c=5.

The discriminant of a quadratic equation is calculated using the formula:

$D=b^{2} - 4ac$

We plug in the values to obtain:

$D= {( - 18)}^{2} - 4( - 3)(5)$

$D= 324 + 60$

Simplify:

$D= 384$

The discriminant is greater than zero, hence there are two distinct real roots.

Since 384 is not a perfect square, the roots are irrational.

You might be interested in

Need help answering these questions please.

Kisachek [45]

$12.50 because you would divide 50 and 4

3 0

4 years ago

BRAINLIEST AND 100 POINTS. Please help by explaining how you got the answer

spayn [35]

Answer:

it may be A log x ........

4 0

3 years ago

F⃗ (x,y)=−yi⃗ +xj⃗ f→(x,y)=−yi→+xj→ and cc is the line segment from point p=(5,0)p=(5,0) to q=(0,2)q=(0,2). (a) find a vector pa

DerKrebs [107]

a. Parameterize $C$ by

$\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath$

with $0\le t\le1$ .

b/c. The line integral of $\vec F(x,y)=-y\,\vec\imath+x\,\vec\jmath$ over $C$ is

$\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt$

$=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt$

$=\displaystyle\int_0^1(10t+(10-10t))\,\mathrm dt$

$=\displaystyle10\int_0^1\mathrm dt=\boxed{10}$

d. Notice that we can write the line integral as

$\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)$

By Green's theorem, the line integral is equivalent to

$\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy$

where $D$ is the triangle bounded by $C$ , and this integral is simply twice the area of $D$ . $D$ is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.

4 0

3 years ago

If it takes 5 workers 4 hours to build a 10 foot wall, and the number of hours is directly proportional to the number of walls t

pychu [463]

4x10=40 10x10=100 ft/10 100/10=10 walls

4 0

4 years ago

AB is the angle bisector of ∠CAD. Solve for x.

Sliva [168]

Answer: x=7

Step-by-step explanation:

Since AB is a bisector, it cuts the angle in half, and since we know that the angle is a right angle, we know it’s 90 degrees, so knowing that you use the equation 7x-4= 45 (since 45 is half of 90), add 4 to both sides so you have 7x=49, the divide 49 by 7 and you get 7, so x= 7

3 0

3 years ago