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mihalych1998 [28]
3 years ago
15

Use the discriminant to describe the roots of each equation. Then select the best description. x2 - 5x + 7 = 0

Mathematics
1 answer:
miv72 [106K]3 years ago
5 0
The general form of a quadratic (second degree) equation is 

a x^{2} +bx+c=0, where

D= b^{2}-4ac is called the Discriminant.


The Discriminant determines how many roots the equation will have as follows:

i)  if D>0, the equation has 2 roots.
ii) if D=0, the equation has 1 double root.
iii) if D<0, the equation has no roots.


In our equation, x^{2} -5x+7=0, a=1, b=-5, c=7

so the discriminant is D=(-5)^2-4*1*7=25-28<0


Thus the equation has no roots.


Remark: the equation has no roots in the Real numbers, but it has 2 roots in a larger set of numbers to be discussed in the future, the Complex numbers.
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Does anyone get this question plss
a_sh-v [17]

Answer:

D)  1.0

Step-by-step explanation:

if y = 1 then x = 1

6 0
3 years ago
Please help will mark branlist!!
insens350 [35]

Answer:

x=9

Step-by-step explanation:

Looking at the diagram, we see that four angles are formed by the intersection of two lines. The angles highlighted in blue and green are therefore, vertical angles. We know that vertical angles have equal angle measures meaning that in this case, the measure of the blue angle is equal to the measure of the green angle. Using this, we can now solve for x:

7x+49=2x+94

7x-2x=94-49

5x=45

x=45/5

x=9

8 0
3 years ago
the scientists collection that as granite that weighs 74 26/36 lbs, marble that weighs 63 16/34 lbs, and quartz that weighs 81 9
ipn [44]

Answer:

<h2> 6 1/2 lbs</h2>

Step-by-step explanation:

Given the weight of granite to be  74 26/36 lbs,

Weight of quartz is 81 9/40 lbs.

To know how much more quartz weight than the granite, we will take the difference between the weight of quartz and granite as shown.

Weight of quartz  - Weight of granite

= 81 9/40 - 74 26/36

= 3,249/40 - 2690/36

= (29, 241 - 26,900)/360

= 2,341/360

= 6 181/360

≈ 6 1/2 lbs

quartz weighs approximately 6 1/2 lbs much more than granite

7 0
2 years ago
The length of a rectangle is 4 more than 3 times the width if the perimeter of the rectangle is 18.4 cm what is the area of the
garik1379 [7]
Let's call the width: w

the lenght is then 3w+4 ("4 more than 3 times the width")

and the parameter would be 2(w+3w+4), that is 2*(4w+4), that is 8w+8.

this is also equal to 18.4:

8w+8=18.4
8w=10.4
w=1.3

this is the width, and the lenght is:
4+3*1,3=4+3.9=7.9

and the area is their product:
1.3*7.9=10.27
6 0
3 years ago
Solve the equation for y.<br>28 = 24x – 7y​
spin [16.1K]

28 = 24x -7y

-24x + 28 = -7y

y = 24/7x + 4

6 0
3 years ago
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