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timama [110]
3 years ago
13

Find the roots. 2x^2 + 4x - 5 =0

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
8 0

Answer:

-1\pm\dfrac{\sqrt{14}}{2}

Step-by-step explanation:

2x^2+4x-5=0

Using the quadratic formula:

x=\dfrac{-4\pm \sqrt{16+40}}{4}=-1\pm\dfrac{\sqrt{14}}{2}

Hope this helps!

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What is the lcd of (3x)/(x + 3), 3/(x ^ 2 - 9)
Rudik [331]

Answer:

Simplify the denominator.

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x

(

x

+

3

)

(

x

−

3

)

⋅

3

x

x

2

−

5

x

+

6

Factor

x

2

−

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x

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using the AC method.

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x

(

x

+

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)

(

x

−

3

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⋅

3

x

(

x

−

3

)

(

x

−

2

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Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

(

x

+

3

)

(

x

−

3

)

,

(

x

−

3

)

(

x

−

2

)

The LCM is the smallest positive number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

The number

1

is not a prime number because it only has one positive factor, which is itself.

Not prime

The LCM of

1

,

1

is the result of multiplying all prime factors the greatest number of times they occur in either number.

1

The factor for

x

+

3

is

x

+

3

itself.

(

x

+

3

)

=

x

+

3

(

x

+

3

)

occurs

1

time.

The factor for

x

−

3

is

x

−

3

itself.

(

x

−

3

)

=

x

−

3

(

x

−

3

)

occurs

1

time.

The factor for

x

−

2

is

x

−

2

itself.

(

x

−

2

)

=

x

−

2

(

x

−

2

)

occurs

1

time.

The LCM of

x

+

3

,

x

−

3

,

x

−

3

,

x

−

2

is the result of multiplying all factors the greatest number of times they occur in either term.

(

x

+

3

)

(

x

−

3

)

(

x

−

2

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Step-by-step explanation:

there does that help

6 0
4 years ago
( 9 x − 4 ) + 3 ( 8 x − 2 )
weeeeeb [17]

Answer:

17x-3

Step-by-step explanation:

This is the answer only if u are trying to add kk

7 0
3 years ago
Read 2 more answers
a force of 2 pounds is needed to stretch a spring 8 inches.what force is required to stretch the spring 16 inches
Korvikt [17]

Answer:

Four (4) pounds

Step-by-step explanation:

Because we required two (2) pounds to stretch the spring eight (8) inches, we need double the force to stretch it sixteen (16) inches. Sixteen is just double the original amount, meaning we need four (4) pounds to stretch the spring sixteen inches.

Hope this helps!

5 0
3 years ago
A painter charges by the square foot and charges you $1,875 to paint a 750 square foot rental house. If you need 1300 square foo
Stella [2.4K]

In this question , it is given that

A painter charges by the square foot and charges you $1,875 to paint a 750 square foot rental house.

For 750 square foot, he charges $1875.

So for 1 square foot, he charges

= \frac{1875}{750} = $2.50 \ \per \ square \ foot

And for 1300 square foot, he charges

= 2.50*1300 = $3250

3 0
3 years ago
What are the roots of the quadratic equation 2x2+7x+4=0? Select all that apply.
skad [1K]

Answer:

option A and B

x=\frac{-7+\sqrt{17}} {4}

and

x=\frac{-7-\sqrt{17}} {4}

Step-by-step explanation:

we have

2x^2+7x+4=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

2x^2+7x+4=0

so

a=2\\b=7\\c=4

substitute in the formula

x=\frac{-7\pm\sqrt{7^{2}-4(2)(4)}} {2(2)}

x=\frac{-7\pm\sqrt{17}} {4}

so

x=\frac{-7+\sqrt{17}} {4}

and

x=\frac{-7-\sqrt{17}} {4}

7 0
3 years ago
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