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Verdich [7]
3 years ago
5

How many and what type of solutions does 7x^2−4x+3 have? 1 rational solution 2 rational solutions 2 irrational solutions 2 nonre

al solutions
Mathematics
2 answers:
Gre4nikov [31]3 years ago
7 0

Answer:

2 non real solutions.

Step-by-step explanation:

We need to use discriminant,

for ax²+bx+c=0

The discriminat is b²-4ac

If the discriminant is,

→ less than 0, then 0 real solutions

→ equal to 0, then 1 real solutions

→ more than 0, then 2 real solutions

Given that,

7x²−4x+3=0

a=7, b=-4, and c=3

→ (-4)²-4(7)(3)

→ 16-84

→ -68

You can see this is less than 0, then non real solutions. [2 nonreal solutions]

Vikki [24]3 years ago
5 0

Answer:

Solution given:

7x²-4x+3=0

taking common 7

7(x²+4/7*x+3/7)=0

x²+2*x*2/7+(2/7)²-(2/7)²+3/7=0

(x+2/7)²=-17/49

x+2/7=\sqrt{\frac{17}{49}}

x=±√(17)/7-2/7

taking positive

x=√(17)/7-2/7

x=0.39

taking positive

x=-√(17)/7-2/7

x=-0.87

<u>2</u><u>:</u><u>u</u><u>n</u><u>r</u><u>e</u><u>a</u><u>l</u><u> </u><u>number</u>

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3 years ago
How to do 15 1/2 - 2 1/10 how to do it
lisov135 [29]

First, you need to make the fractions have the same denominator:

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2   1/10       --->       2  1/10

Then you need to subtract them from each other:

  15   5/10                                        

<u>-    2   1/10</u>                   (or)                  15  5/10 - 2 1/10 =   13  4/10

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3 years ago
Write the frost ten terms of a sequence whose first term is -10 and whose common difference is -2​
Temka [501]

Answer:

-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, called the common difference

The formula for an Arithmetic Sequence is equal to

a_n=a_1+(n-1)d

where

d is the common difference

n is the number of terms

a_1 is the first term of the sequence

In this problem we have

a_1=-10\\d=-2

substitute

a_n=-10+(n-1)(-2)

a_n=-10-2n+2

a_n=-2n-8

so

<u><em>Find the first ten terms</em></u>

a_1=-10

For n=2 ----> a_2=-2(2)-8=-12

For n=3 ----> a_3=-2(3)-8=-14

For n=4 ----> a_4=-2(4)-8=-16

For n=5 ----> a_5=-2(5)-8=-18

For n=6 ----> a_6=-2(6)-8=-20

For n=7 ----> a_7=-2(7)-8=-22

For n=8 ----> a_8=-2(8)-8=-24

For n=9 ----> a_9=-2(9)-8=-26

For n=10 ----> a_1_0=-2(10)-8=-28

The sequence is

-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...

5 0
3 years ago
Tesfa is x years old. his father is 4 times as old as Tesfa. Her mother is 7 years younger than his father. If their three ages
4vir4ik [10]

tesfa = x

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9x+1=101

9x=100

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6 0
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