Ask question

Ask question

All categories

MariettaO [177]

3 years ago

15

Find a quadratic equation with integer coefficient ,if one of the roots is 7-root3

1 answer:

solmaris [256]3 years ago

6 0

One of the roots of a quadratic equation is 7 - √3.

Because rational roots occur in conjugate pairs, the other root is 7 + √3.
The quadratic equation is
(x -(7-√3))(x - (7+√3))
= x² - (7+√3)x - (7-√3)x + (49-3)
= x² - 7x - (√3)x - 7x + (√3)x + 46
= x² - 14x + 46

Answer: x² - 14x + 46

You might be interested in

Please Hurry, I need an answer, quick my assignment is due today.

lys-0071 [83]

Answer:

8.25 hrs

Step-by-step explanation:

it takes 3/4 to replace all tires in a car

you then multiply 3/4 by 11

5 0

3 years ago

5x+5y=-30 find the x and y intercept

Masja [62]

<em>The x and y intercept of 5x + 5y = -30 are (-6, 0) and (0, -6) respectively.</em>

<h2 /><h2>Explanation:</h2>

The Standard Form of the equation of a line is given by:

$Ax+By=C \\ \\ A,B,C \ Real \ Constants \ and \ A>0$

So:

$5x+5y=-30$

is written in Standard Form. The x and y intercepts are:

$x-intercept: \ (x,0) \\ \\ y-intercept: \ (0,y)$

So:

FOR X-INTERCEPT:

$Let's \ set: \\ y=0 \\ \\ 5x+5(0)=-30 \\ \\ Isolating \ x: \\ \\ 5x=-30 \\ \\ x=-\frac{30}{5} \\ \\ \boxed{x=-6}$

FOR Y-INTERCEPT:

$Let's \ set: \\ x=0 \\ \\ 5(0)+5y=-30 \\ \\ Isolating \ x: \\ \\ 5y=-30 \\ \\ y=-\frac{30}{5} \\ \\ \boxed{y=-6}$

Finally,<em> the x and y intercept of 5x + 5y = -30 are (-6, 0) and (0, -6) respectively.</em>

<h2>Learn more:</h2>

Parallel lines: brainly.com/question/12169569

#LearnWithBrainly

6 0

3 years ago

Which statements are true? Mark all that apply.

FrozenT [24]

Answer:

A and D

Step-by-step explanation:

3 0

3 years ago

You are planning your cousin’s birthday party. He wants to invite at least 250 adults and children combined. Each adult will be

olga_2 [115]

The system of inequalities is x+y≥250 and 3x+2y≤800.

Step-by-step explanation:

Given,

People to invite = at least 250

At least 250 means that the number can increase from 250.

Cups to be provided = only 800

It means the number cannot exceed 800.

Number of adults = A

Number of children = C

According to given statement;

x+y≥250

3x+2y≤800

The system of inequalities is x+y≥250 and 3x+2y≤800.

Keywords: linear inequalities, addition

Learn more about linear inequalities at:

#LearnwithBrainly

5 0

3 years ago

Which of the set of ordered pairs contains the line<br> 1/3 x+y= 15.

Dima020 [189]

Answer: c

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers