Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Find the solution of the system of equations.
$y equals x squared plus 8 x plus 30$
y = 5 - 2x

hint Hint:

The expansion of the identity (x + a)² = x² + 2ax + a². A polynomial of degree two has at most two real solutions.
We are asked to solve the set of equation.

The correct answer is: We are asked to solve the set of equation.

Step 1 of 3:
The LHS of the given set is equal. Thus, equate the RHS of the equation.
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x squared plus 8 x plus 30 equals 5 minus 2 x space space space space space space end cell row cell x squared plus 8 x plus 2 x plus 30 minus 5 equals 0 end cell row cell x squared plus 10 x plus 25 equals 0 space space space space space space space space space space space space end cell end table$
Step 2 of 3:
Solve the solution for the variable x:
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x squared plus 10 x plus 25 equals 0 space space space space space space space end cell row cell x squared plus 5 x plus 5 x plus 25 equals 0 space space end cell row cell x left parenthesis x plus 5 right parenthesis plus 5 left parenthesis x plus 5 right parenthesis equals 0 end cell row cell left parenthesis x plus 5 right parenthesis left parenthesis x plus 5 right parenthesis equals 0 space space space space space space space space space end cell row cell left parenthesis x plus 5 right parenthesis equals 0 straight & left parenthesis x plus 5 right parenthesis equals 0 end cell row cell x equals negative 5 space space space space space space space space space space space space space space space space space space space space space space space space space space end cell end table$
The multiplicity of the value is two.
Step 3 of 3 :
Substitute the value of in any of the equation to get the value of y,
when x = -5,
$y equals 5 minus 2 x space y equals 5 minus 2 left parenthesis negative 5 right parenthesis space y equals 5 plus 10 space y equals 15$
Thus, the solution of the set of equation is (-5, 15).

The multiplicity of a value is the number of time is repeat itself.

Related Questions to study

At what rate percent per annum will a sum of money double itself in 10 years?

At what rate percent per annum will a sum of money double itself in 10 years?

Find the solution of the system of equations.
$y equals x squared plus 6 x plus 9$
y = 3x

It is not necessary for every set of equation to have solutions. If you graph them and get not intersecting points, then they have no real solutions.

Find the solution of the system of equations.
$y equals x squared plus 6 x plus 9$
y = 3x

It is not necessary for every set of equation to have solutions. If you graph them and get not intersecting points, then they have no real solutions.

Choose the synonyms of 'research'

Choose the synonyms of 'research'

parallel

What sum will yield an interest of Rs. 277.50 for 3 years at 12% per annum?

What sum will yield an interest of Rs. 277.50 for 3 years at 12% per annum?

Which of the following is an example of parallel structure?

Which of the following is an example of parallel structure?

Find the solution of the system of equations.
$y equals x squared minus 5 x minus 8$
$y equals negative 2 x minus 4$

Find the solution of the system of equations.
$y equals x squared minus 5 x minus 8$
$y equals negative 2 x minus 4$

parallel

Consider this simple bivariate data set.

a) Draw a scatter plot for the data.
b) Describe the correlation between x and y as positive or negative.
c) Describe the correlation between x and y as strong or weak.
d) Identify any outliers.

Consider this simple bivariate data set.

a) Draw a scatter plot for the data.
b) Describe the correlation between x and y as positive or negative.
c) Describe the correlation between x and y as strong or weak.
d) Identify any outliers.

Find the solution of the system of equations.
$y equals 6 x squared plus 3 x minus 11$
y = 3x - 5

You could solve a set of equations by graphing them. The points where the graphs intersect are the solutions.

Find the solution of the system of equations.
$y equals 6 x squared plus 3 x minus 11$
y = 3x - 5

You could solve a set of equations by graphing them. The points where the graphs intersect are the solutions.

How many syllables in 'poem'.

How many syllables in 'poem'.

parallel

Consider this simple bivariate data set.

a) Draw a scatter plot for the data.
b) Describe the correlation between x and y as positive or negative.
c) Describe the correlation between x and y as strong or weak.
d) Identify any outliers.

Consider this simple bivariate data set.

a) Draw a scatter plot for the data.
b) Describe the correlation between x and y as positive or negative.
c) Describe the correlation between x and y as strong or weak.
d) Identify any outliers.

Find the amount of Rs. 6000 lent from 18 th January 2006 to 12 th June 2006 at 9% per annum?

Find the amount of Rs. 6000 lent from 18 th January 2006 to 12 th June 2006 at 9% per annum?

The first day of spring after a long, cold, winter in always a magical experience

The first day of spring after a long, cold, winter in always a magical experience

parallel

The amounts of certain sum of money with simple interest at certain rate of interest are Rs. 5440 in 3 years and Rs. 6440 in 5 years. Find the sum and rate of interest?

The amounts of certain sum of money with simple interest at certain rate of interest are Rs. 5440 in 3 years and Rs. 6440 in 5 years. Find the sum and rate of interest?

Find the solution of the system of equations.
$y equals negative 2 x squared plus 6 x minus 7$
y = 13 - 2x

Find the solution of the system of equations.
$y equals negative 2 x squared plus 6 x minus 7$
y = 13 - 2x

Choose the words with suffix ness

Choose the words with suffix ness

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.