Ask question

Ask question

All categories

3 years ago

5

What is the discriminant of 3x^2-8x+5=5x^2

1 answer:

creativ13 [48]3 years ago

6 0

Move all terms to the left side of the equation and simplify.

<span><span><span><span><span><span>−2</span><span>x2</span></span><span><span>−8</span>x</span></span>+5</span>=0</span><span><span><span><span><span>-2</span><span>x2</span></span><span><span>-8</span>x</span></span>+5</span>=0

</span></span>The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

<span><span><span>b2</span><span><span>−4</span><span>(<span>ac</span>)</span></span></span><span><span>b2</span><span><span>-4</span><span>ac

</span></span></span></span>Substitute in the values of <span>aa</span>, <span>bb</span>, and <span>cc</span>.

<span><span><span><span>(<span>−8</span>)</span>2</span><span><span>−4</span><span>(<span><span>−2</span>⋅5</span>)</span></span></span><span><span><span>-8</span>2</span><span><span>-4</span><span><span>-2</span>⋅5

</span></span></span></span>Evaluate the result to find the discriminant.\

<span>104</span>

You might be interested in

A restaurant offers 4 pasta meals, 5 seafood meals, and 6 burgers for its main courses. If a diner picks a meal at random, what

jeka94

Answer: 5/15 or 1/3 reduced

hope this helps :)

8 0

3 years ago

What is the surface area of this

castortr0y [4]

The answer to this problem is 403.6

4 0

3 years ago

Let f(x)= x^2-4x-c. Find a nonzero value of c such that f(c)=c.

Dimas [21]

Answer:

The nonzero value of c will be:

$c = 6$

Step-by-step explanation:

Given the function

$f\left(x\right)=\:x^2-4x-c$

$f\left(c\right)=\:c^2-4c-c$

as

$f(c) = c$

so

$c=\:c^2-4c-c$

switching the sides

$c^2-4c-c=c$

subtract c from both sides

$c^2-4c-c-c=c-c$

$c^2-6c=0$

$c\left(c-6\right)=0$

Using the zero factor principle

$\:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

$c=0\quad \mathrm{or}\quad \:c-6=0$

so, the solutions to the quadratic equations are:

$c=0,\:c=6$

Therefore, a nonzero value of c will be:

$c = 6$

5 0

3 years ago

The table below shows all of the possible outcomes of rolling a six-sided number cube and flipping a coin.

exis [7]

maybe bc of how many times you can add the number itself

3 0

3 years ago

Read 2 more answers

charmaine purchased a prepaid phone card for $25. Long distance calls cost 6 cents a minute using this card. Charmaine used her

neonofarm [45]

25-23.08=1.92

1.92/0.6=3.2

her call last 3.2minutes

7 0

3 years ago