-8p^2+8p+7=9 how do i find the discriminant

1 answer:

5 0

The discriminant can be found using the formula b^2-4ac

First put your equation in standard form, where all your values are on one side, and just add f(x) or y in front of your equation.
y= 8p^2-8p+2

The first value of your equation is a (a=8)
The second term of your equation is b (b=-8)
The last term of your equation is c (c=2)

Plug in the values to the discriminant equation b^2-4ac

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HEEEEEEEEEEEELP <br> HEEEEEEELP

Bingel [31]

Answer:

x < 2

Step-by-step explanation:

We're going to solve this just like we would an equation, but with just one little twist. First, let's add 1/3 to both sides.

5/6x - 1/3 > 1 1/3

5/6x > 1 2/3

First, let's turn 1 2/3 into an improper fraction to make it easier to work with. Multiply the big number by the denominator, then add the numerator.

1 x 3 + 2 = 5

1 2/3 = 5/3

Now, multiply 5/3 by 2/2 to get 6 as the denominator. This works because 2/2 simplifies to 1 and therefore does not change the value of the fraction.

5 x 2 = 10

3 x 2 = 6

5/3 = 10/6

Now divide both sides by 5/6. Because they both have the same denominator, we can cancel the denominator out and just divide 5x/5 and 10/5.

5/6x > 10/6

5x > 10

x > 2

Wait! We don't have the correct answer just yet. Whenever you divide an inequality, you have to flip the inequality sign.

x < 2

Now <em>there's</em> our final answer.

4 0

3 years ago

xz_007 [3.2K]

Answer:

$Center = \boxed{1}, \: \boxed{ - 2} \: ; \: Radius = \boxed{3}$

Step-by-step explanation:

${x}^{2} + {y}^{2} - 2x + 4y - 4 = 0 \\ \\ ({x}^{2} - 2x + 1 - 1) + ( {y}^{2} + 4y + 4 - 4) - 4 = 0 \\ \\ ( {x}^{2} - 2x + 1) + ( {y}^{2} + 4y + 4) - 9 = 0 \\ \\ {(x - 1)}^{2} + {(y + 2)}^{2} = 9 \\ \\ {(x - 1)}^{2} + {(y + 2)}^{2} = {3}^{2} \\ \\ equating \: it \: with \\ \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ h = 1 \\ k = - 2 \\ r = 3 \\ \\ center = \boxed{1} \: \boxed{ - 2} \: \: radius = \boxed{3}$