Y=4x^{2 -4x+9 find the x-intercepts for the parabola

3 answers
Question:

Y=4x^{2 -4x+9 find the x-intercepts for the parabola

Answers

The parabola does not intercept the x-axis.

Step-by-step explanation:

The parabola intercepts the x-axis when [tex]y=0[/tex], then, you need to substitute [tex]y=0[/tex] into the equation:

[tex]y=4x^2 -4x+9\\0=4x^2 -4x+9[/tex]

Now, use the Quadratic formula:

[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]

In this case:

[tex]a=4\\b=-4\\c=9[/tex]

Substituting these values and evaluating, you get:

[tex]x=\frac{-(-4)\±\sqrt{(-4)^2-4(4)(9)}}{2(4)}\\\\x=\frac{4\±\sqrt{-128}}{8}[/tex]

Remeber that:

[tex]\sqrt{-1}=i[/tex]

Then, rewriting:

[tex]x=\frac{4\±8i\sqrt{2}}{8}[/tex]

Simplifying:

 [tex]x=\frac{4(1\±2i\sqrt{2}}{4(2)}\\\\x=\frac{1\±2i\sqrt{2}}{2}\\\\x=\frac{1}{2}\±\frac{2i\sqrt{2}}{2}\\\\x=\frac{1}{2}\±i\sqrt{2}[/tex]

 

Then:

[tex]x_1=\frac{1}{2}+i\sqrt{2}[/tex]

[tex]x_2=\frac{1}{2}-i\sqrt{2}[/tex]

The roots are complex, therefore, the parabola does not intercept the x-axis.

you can't solve x because it is 2 linear equation and you only have one equation

false

step-by-step explanation:

the meaning of changing is to edit or make something different.

but transmitting means cause (something) to pass on from one place or person to another.

there 2 different things

Similar Solved Works

4 answers

The following trial balance was taken from the books of Fisk Corporation on December 31, 2020. Account

The following trial balance was taken from the books of Fisk Corporation on December 31, 2020. Account Debit Credit Cash $ 9,000 Accounts Receivable 40,000 Notes Receivable 10,000 Allowance for Doubtful Accounts $ 1,800 Inventory 34,000 Prepaid Insurance 4,800 Equipment 100,000 Accumulated Depreciat...
4 answers

Can some please help me on these twoDIRECTIONS: give the perimeter of each figure as a simplified expression

Can some please help me on these two DIRECTIONS: give the perimeter of each figure as a simplified expression [tex]Can some please help me on these two DIRECTIONS: give the perimeter of each figure as a simplifie[/tex]...
3 answers

So, honest question, should I change my real profile pic to something that isn't my actual face? I just don't know if I should change it,

So, honest question, should I change my real profile pic to something that isn't my actual face? I just don't know if I should change it, just a question, whatever, just bored LOL PLEASE DON'T REPORT ME, I'm just asking about my profile pic, and if I should change it, to something that isn't actuall...
4 answers

If u know can u me i got a lot of homework i just need answers for 11-15

If u know can u me i got a lot of homework i just need answers for 11-15...
4 answers

Which two countries contain over one-third ofAside from low birthrates and high death rates, what can cause a country's

Which two countries contain over one-third ofAside from low birthrates and high death rates, what can cause a country's population to decline? all people on the planet?...
4 answers

5(x-3)^2+4=129 solutions steps listed out

5(x-3)^2+4=129 solutions steps listed out...
3 answers

The area of triangle scarf is 21 square inches. What is the base of the scarf is its height 6 inches?​

The area of triangle scarf is 21 square inches. What is the base of the scarf is its height 6 inches?​...
7 answers

In which location is glucose formed?

In which location is glucose formed?...
4 answers

What percent of students report having used at least one of the following tactics to keep their drinking

What percent of students report having used at least one of the following tactics to keep their drinking sensible: avoiding drinking games, setting a maximum number of drinks in advance, having a friend them know when to stop, pacing drinks to one or fewer per hour....
2 answers

Guys please I really need this it’s important

Guys please I really need this it’s important [tex]Guys please I really need this it’s important[/tex]...
3 answers

>PLS HELP< WILL GIVE BRAINLIESTWhich of the following equations will yield the surface area of a cylinder?SA = 2lw + 2lh + 2whSA

>PLS HELP< WILL GIVE BRAINLIEST Which of the following equations will yield the surface area of a cylinder? SA = 2lw + 2lh + 2wh SA = 2rh + 2r2 SA = 2B + Ph SA = r2h...
4 answers

An aluminium rod has a diameter of 3cm thickness of 0.6m. one end of the rod is placed in the boiling

An aluminium rod has a diameter of 3cm thickness of 0.6m. one end of the rod is placed in the boiling water and the other end is placed in ice. calculate the quantity of heat transferred through the rod within 1 minute. ​...
3 answers

Anasenasatmananandamam8cmbcm5cm8 cm​

Anasenasatmananandamam8cmbcm5cm8 cm​...
3 answers

Helen has a set of number cards numbered 1 thru 10. If Helen randomly draws 2 cards from the deck, what

Helen has a set of number cards numbered 1 thru 10. If Helen randomly draws 2 cards from the deck, what is the probability that she will draw an even number and then a 5?...
3 answers

What can context help you to determine about an unknown word? Select all that apply.A. meaningB. antonymsC. originD.

What can context help you to determine about an unknown word? Select all that apply. A. meaning B. antonyms C. origin D. part of speech...
3 answers

How to change 78/5 into a mixed number​

How to change 78/5 into a mixed number​...
4 answers

When going more than 38 miles per hour, the gas mileage of a certain car fits the model y = 43.81 - .395x where x is the

When going more than 38 miles per hour, the gas mileage of a certain car fits the model y = 43.81 - .395x where x is the speed of the car in miles per hour and y is the miles per gallon of gasoline. based on this model, at what speed will the car average 15 miles per gallon? (round to nearest whole...
12 answers

Find the value of k that makes each statement true.

Find the value of k that makes each statement true. [tex]Find the value of k that makes each statement true.[/tex]...
4 answers

12=5^x exponential equation

12=5^x exponential equation...
4 answers

Jelaskan apa arti tauhid​

Jelaskan apa arti tauhid​...

-- 0.051641--