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Ilia_Sergeevich [38]
3 years ago
6

Solve 3x2 + 4x = −5.

Mathematics
2 answers:
erastova [34]3 years ago
3 0

Answer:


Step-by-step exExplanation:

Solve:

3

x

2

−

4

x

−

5

=

0

is a quadratic equation in standard form:

a

x

2

+

b

x

+

c

,

where:

a

=

3

,  

b

=

−

4

,  

c

=

−

5

Quadratic formula

x

=

−

b

±

√

b

2

−

4

a

c

2

a

Plug in the known values.

x

=

−

(

−

4

)

±

√

(

−

4

)

2

−

4

⋅

3

⋅

−

5

2

⋅

3

Simplify.

x

=

4

±

√

76

6

Prime factorize  

76

.

x

=

4

±

√

2

2

×

19

6

Apply rule:  

√

a

2

=

a

x

=

4

±

2

√

19

6

Simplify.

x

=

2

±

√

19

3

Solutions for  

x

.

x

=

2

+

√

19

3

,

 

2

−

√

19

3

Related questions

How do you know how many solutions  

2

x

2

+

5

x

−

7

=

0

has?

What is the Quadratic Formula?

planation:


baherus [9]3 years ago
3 0

Answer:

x= -11/4

Step-by-step explanation:


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lapo4ka [179]

Answer:

The required probability is, 0.78

Step-by-step explanation:

There are, (52 - 13) = 39 cards which are not spade

5 cards can be chosen from the deck of 52 cards in

^{52}{C}_{5}  ways

and out of these 5 choices, none of them will be spade in,

^{39}{C}_{5}  ways

So,

P(None of the chosen cards is spade)

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Hence,

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\simeq (1 - 0.22)

= 0.78

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antiseptic1488 [7]

Answer:

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4 0
3 years ago
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Novay_Z [31]

Answer:

x=\pm \sqrt{11} \\y=-4.

Step-by-step explanation:

\left \{ {{3x^2+4y=17} \atop {2x^2+5y=2}} \right. \\\\Then\\\\\left \{ {{2 \times (3x^2+4y)=2 \times 17} \atop {3\times(2x^2+5y)=3\times2}} \right. \\\\\left \{ {{6x^2+8y=34 \quad (1)} \atop {6x^2+15y=6\quad (2)}} \right.\\\\(1)-(2) \Rightarrow -7y=28 \Rightarrow y =-4.\\Since \: \:  2x^2+5y=2 \Rightarrow 2x^2=2-5y\\\Rightarrow 2x^2=2+20=22\\\Rightarrow x^2=22:2=11\\\Rightarrow x=\pm \sqrt{11}.

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2 years ago
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