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Nataly [62]
3 years ago
15

Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 2 1 cannot be determined

Mathematics
1 answer:
Marina CMI [18]3 years ago
4 0

Answer:

0 solution

Step-by-step explanation:

Given

x^2 + 5x+ 7 = 0

Required

Find number of solutions;

The number of solutions can be determined via the value of determinants, D;

Such that

D = {b^2} - {4ac}

By comparing the general form of equation;

ax^2 +bc x + c = 0

with x^2 + 5x+ 7 = 0

This gives

a = 1\\b = 5\\c = 7

So;

D = {b^2} - {4ac} becomes

D = {5^2} - {4*1*7}

D = {25} - {28}

D = -3

The calculated value of D is less than 0;

This implies that x^2 + 5x+ 7 = 0 has no real solution

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Let f(x)= x2 - 14 and g(x) = 6-X.<br> Find (fq)(7).
sleet_krkn [62]

Answer:

(fg)(7) = - 35

Step-by-step explanation:

The given functions are:

f(x) =  {x}^{2}  - 14

and

g(x) = 6 - x

We want to to find

(fg)(7)

Note that:

(fg)(x) = f(x) \times g(x)

We substitute the functions to obtain:

(fg)(x) = ( {x}^{2} -1 4 ) \times (6 - x)

We now substitute x=7, to get:

(fg)(7) = ( {7}^{2} -1 4 ) \times (6 - 7)

This implies that

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8 0
3 years ago
A cycliest rides at 30 kilometers per hour. how far will travel in 21/2 hours
storchak [24]

Answer:

  • 315 kilometers.

Step-by-step explanation:

<u>We know that:</u>

  • 30 kilometers = 1 hour

<u>Solution:</u>

  • 30 kilometers = 1 hour
  • => 30 x 21/2 kilometers = 21/2 hours
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Hence, in 21/2 hours, the cyclist rides 315 kilometers.

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