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Mariulka [41]
3 years ago
11

What is the value of the discriminant of the quadratic equation -1=5x^2-2x and what does its value mean about the number of real

number solutions the equation has?
Mathematics
2 answers:
matrenka [14]3 years ago
6 0

Answer:

discriminant is -16. There are no real number solutions.

Step-by-step explanation:

Aliun [14]3 years ago
3 0

Answer:

discriminant of the quadratic equation is -16, The resulting number is less than zero so there are no real number solutions. Hope its Helps:):)

Step-by-step explanation:

Given : he quadratic equation −1 = 5x² −2x.

To find : What is the value of the discriminant .

Solution : We have given that −1 = 5x² −2x.

−1 = 5x² −2x.

On adding by 1 both sides

0 =  5x² −2x +1

On switching sides

5x² −2x +1 = 0

Compare it standard form of quadratic equation ax² +bx +c = 0.

Here, a = 5,  b=  -2, c = 1

By Discriminant formula:

D =  

Substituting the values

D =  .

D = 4 - 20

D = -16.

Therefore, discriminant of the quadratic equation is -16, The resulting number is less than zero so there are no real number solutions.

Read more on Brainly.com - brainly.com/question/3875731#readmore

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Answer:

4.4

Step-by-step explanation:

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A line contains points M(1, 3) and N(5, 0). What is the slope of MN?
Liula [17]

Answer:

-¾

Step-by-step explanation:

gradient = delta y over delta x

gradient = 0 - 3 / 5 - 1

gradient = -3 / 4

5 0
2 years ago
Jane needs open-topped boxes to store her excess inventory at year's end. She purchases large
Debora [2.8K]

Answer:

x = 1,6 in   ( the side of the corner squares )

V(max) = 67,58 in³

Step-by-step explanation:

The cardboard is:

L = 12 in          w  =  8 in

Let´s call "x" the side of the square from the corner:

Then the sides of the base of the open box are:

( L - 2*x )    and    ( w - 2*x )     and   x is the height

( 12  -  2*x )  and  ( w  - 2*x )

V(ob) = (L - 2*x ) * (  - 2*x ) * x

Wich is a function of x

V(x) = [( 12 - 2*x ) * ( 8 - 2*x ) ]*x

V(x) = ( 96 - 24*x - 16*x + 4*x²) * x

V(x) = 96*x - 40*x² + 4*x³

Tacking derivatives on both sides of the equation

V´(x) = 12*x² - 80*x + 96

V´(x) = 0     12*x² - 80*x + 96 = 0

Solving for x

x₁,₂ = 80 ± √ 6400 - 4608 / 24

x₁,₂ = 80 ± 42,33 / 24

x₁ = 5,10       We dismiss this solution since 2*x  becomes 2*5,10 = 10,20

ant this value is bigger than 8 inches

x₂ = 1,60 in

Therefore dimensions of the box

a = 12 - 2*x     ;  a =  12 - 3,20  ;  a = 8,8 in

b = 8 - 2*x   ; b = 8 - 3,20  ; b =  4,80  in

And the volume of the open box is:

V(max) = 8,8*4,8*1,6

V(max)  =  67,58 in³

How do we Know that is the maximun value for V?

We find  V´´(x)  = 24*x - 80     for  x = 1,6 is negative ( V´´(x) = - 41,6 therefore V (x) has  a local maximun for a value of x = 1,6

3 0
3 years ago
Y - 8 = -10<br> How do I verify the solution ?
prisoha [69]

Answer:

y = -2

Step-by-step explanation:

<u>SOLUTION :-</u>

Solve the equation.

  • Add 8 to both sides in order to isolate the equation.

=> y - 8 + 8 = -10 + 8

=> y = -2

∴ y = -2

<u>VERIFICATION :-</u>

To verify the solution of y , just put the solution (y = -2) in place of y in equation and check whether L.H.S = R.H.S.

L.H.S :-

-2 - 8 = <u>-10</u>

R.H.S. :-

<u>-10</u> (already given)

⇒L.H.S. = R.H.S. (verified)

4 0
2 years ago
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