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3 years ago

Lie is solving the quadratic equation by completing the square.

Mathematics

2 answers:

wel3 years ago

8 0

we have

$3x^{2} + 18x - 8 = 0$

Step $1$

Move the constants to the right side

$3x^{2} + 18x = 8$

Step $2$

Factor 3 out of the variable terms

$3(x^{2} + 6x) = 8$

Step $3$

Add $27$ to both sides of the equation

$3(x^{2} + 6x+9) = 8+27$

$3(x^{2} + 6x+9) = 35$

Step $4$

Write the polynomial as a binomial squared

$3(x+3)^{2} = 35$

therefore

the answer is

Factor 3 out of the variable terms.

devlian [24]3 years ago

3 0

Answer:

the answer is factor 3 out the variable terms

Step-by-step explanation:

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Which term completes the product so that it is the difference of squares?

FromTheMoon [43]

Answer:

the answer is 3

Step-by-step explanation:

(-5x-3)(-5x+3)=(5x)^2 - (3)^2

A difference of squares is the difference of two squared terms.

We have

a^2 - b^2

We can factorize the difference of squared terms like this:

a^2-b^2 = (a+b)(a-b)

We have (-5x-3)(-5x+3)

Lets prove it:

(-5x-3)(-5x+3) = (-5x*-5x)+(-5x*3)+(-3*-5x)+(-3*3)

(-5x-3)(-5x+3) = 25x^2+(-15x)+(15x)+(-9)

(-5x-3)(-5x+3) = 25x^2-15x+15x-9

(-5x-3)(-5x+3) = 25x^2-9

(-5x-3)(-5x+3) = (5x)^2 - (3)^2

6 0

3 years ago

Read 2 more answers

Geometry sem 1 7.1.2 Exam: Semester 1 Exam

Alex777 [14]

Answer:

Step-by-step explanation:

6 0

2 years ago

Hi I need help on my math the mid-chapter checkpoint

masya89 [10]

Answer:

do you know how to divide without a calculator? you should really learn...but here 3=211,4=60.875,5=410.25,6=307.23

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3 years ago

The dDifference in hours between full times and the part timers to work three hours a day is 2 working hours how many hours per

hram777 [196]

full timers work 5 hours a day whereas Part timers work 3 hours a day!

<u>Step-by-step explanation:</u>

Here we have , The difference in hours between full times and the part timers to work three hours a day is 2 working hours . We need to find that how many hours per day to full timers work . Let's find out:

Let full timers work x hours , Part time workers work 3 hours a day , According to question, difference in hours between full times and the part timers to work three hours a day is 2 working hours i.e.

⇒ $x-3 = 2$