Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly 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)
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.