Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

please answer its due soon and ill make brainlist and rate 5 stars and like please answer correctly I really need it.

Please Answer Its Due Soon And Ill Make Brainlist And Rate 5 Stars And Like Please Answer Correctly I Really Need It class=

Sagot :

carsonriegger20

Answer:

The given quadratic has two solutions.

Step-by-step explanation:

The discriminant of a quadratic equation is [(b^2) - (4 * a * c)]

We're given the quadratic x^2 - 8x - 84 = 0

We can find a, b, and c by analyzing the quadratic.

So,

a = 1 because x^2 has no coeffiecient

b = -8 ( coefficient of 8 * the - )

c = -84 the raw y-intercept value of this function

Now we can plug these numbers into the discriminant expression:

(-8)^2 - ( 4 * 1 * -84 ) =

64 - ( - 336 ) =

64 + 336 =

400

Now that we know the value of the discriminant, we have to anazlyze it.

If the discriminant of a quadratic is positive, the quadratic has 2 solutions.

If the discriminant is negative, the quadratic has no solutions.

If the discriminant is equal to zero, the quadratic only has 1 solution.

In conclusion, because the discriminant = 400, and 400 > 0, the given quadratic equation has two solutions.

nfeinglass910
Answer: x=(-6,14)

Steps:
Factor the expression.

Apply the AC Method
Look at the coefficients, A=1,B=-8,C=-84

Find factors of AC.
{1,2,3,4,6,7,12,14,21,28,42,84}

Find pairs of the above factors, which, when multiplied equal 84.
{1*84,2*42,3*28,4*21,6*14,7*12}

Which pairs of these factors have a difference of B = -8?
6-14=-8

Split the middle term to use above pair.
x^2+(6×-14x)-84

Factor x out of the first pair.
x*(x+6)+(-14x-84)

Factor-14 out of the second pair.
x*(x+6)-14*(x+6)

Group the common factor.
(x-14)*(x+6)

Set 1 st factor x-14 to 0 to solve.
x-14=0

Add 14 to both sides
x-14+14=0+14
Simplify
x=14

Set 2nd factor x+6 to 0 to solve.
x+6=0

Subtract 6 from both sides
x*6-6=0-6
Simplify
x=-6

Solution:
x=(-6,14)
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.