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Setler [38]
3 years ago
11

X2 + 8x = 15 help me ​

Mathematics
2 answers:
dangina [55]3 years ago
5 0

Answer:1.5

Step-by-step explanation:10x=15

x=15/10

x=1.5

svlad2 [7]3 years ago
3 0

Answer:

x₁ = - 4 + √31

x₂ = - 4 - √31

Step-by-step explanation:

x² + 8x = 15

x² + 8x - 15 = 0

x = [- 8 ± √8² - 4×1×(-15)]/(2×1)

x = (-8 ± 2√31)/2

x₁ = (-8 ± 2√31)/2

x₁ = - 4 + √31

x₂ = - 4 - √31

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Answer:

1

+

sec

2

(

x

)

sin

2

(

x

)

=

sec

2

(

x

)

Start on the left side.

1

+

sec

2

(

x

)

sin

2

(

x

)

Convert to sines and cosines.

Tap for more steps...

1

+

1

cos

2

(

x

)

sin

2

(

x

)

Write  

sin

2

(

x

)

as a fraction with denominator  

1

.

1

+

1

cos

2

(

x

)

⋅

sin

2

(

x

)

1

Combine.

1

+

1

sin

2

(

x

)

cos

2

(

x

)

⋅

1

Multiply  

sin

(

x

)

2

by  

1

.

1

+

sin

2

(

x

)

cos

2

(

x

)

⋅

1

Multiply  

cos

(

x

)

2

by  

1

.

1

+

sin

2

(

x

)

cos

2

(

x

)

Apply Pythagorean identity in reverse.

1

+

1

−

cos

2

(

x

)

cos

2

(

x

)

Simplify.

Tap for more steps...

1

cos

2

(

x

)

Now consider the right side of the equation.

sec

2

(

x

)

Convert to sines and cosines.

Tap for more steps...

1

2

cos

2

(

x

)

One to any power is one.

1

cos

2

(

x

)

Because the two sides have been shown to be equivalent, the equation is an identity.

1

+

sec

2

(

x

)

sin

2

(

x

)

=

sec

2

(

x

)

is an identity

Step-by-step explanation:

7 0
3 years ago
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