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3 years ago

For which equation does it make the most sense to solve by completing the square?

1 answer:

7 0

Completing the square is a method used to solve a quadratic equation by changing the shape of the equation so that the left side is a perfect square trinomial.
The following equation makes more sense to solve it complete squares:
x² + 20x = 52
We have then:
x² + 20x + (10) ^ 2 = 52 + 100
(x + 10) ² = 152
Answer:
The most sense to solve by completing the square is for:
B) x² + 20x = 52

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Find the set the solves <br> <img src="https://tex.z-dn.net/?f=x%20%2B%20%20%20%5Cfrac%7B2%7D%7Bx%7D%20%20%20%5Cgeq%203" id="Tex

Nady [450]

Hello,
To exist x≠0

if x>0 then
x+2/x>=3==>x²+2>=3x
==>x²-3x+2>=0
==>(x-2)(x-1)>=0 positive out of the roots
==> (x<=1 or x>=2) and x>0
==>(0<x<=1) or (x>=2)
else
x<0
x+2/x>=3==>x²+2<=3x
==>x²-3x+2<=0 negative betheen the roots
==>(1<=x<=2) and x<0 : no solution
end if

4 0

3 years ago

a certain triangle has a perimeter of 3067 mi. the shortest side measures 71 mi less than the middle side and the longest side m

UkoKoshka [18]

Answer:

The measure of the shortest side is 851 miles

Step-by-step explanation:

Let

x ----> the measure of the shortest side

y ---> the measure of the middle side

z ---> the measure of the longest side

we know that

The perimeter of triangle is equal to

$P=x+y+z$

$P=3,067\ mi$

$3,067=x+y+z$ ----> equation A

the shortest side measures 71 mi less than the middle side

$x=y-71$ ----> equation B

the longest side measures 372 mi more the the middle side

$z=y+372$ ----> equation C

substitute equation B and equation C in equation A

$3,067=(y-71)+y+(y+372)$

solve for y

$3,067=3y+301\\3y=2,766\\y=922$

Find the value of x

$x=y-71\\x=922-71\\x=851$

therefore

The measure of the shortest side is 851 miles

6 0

2 years ago

pleassssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeehelp

kifflom [539]

U kno how to simplify

3 0

3 years ago

Read 2 more answers

The base of a triangle is represented by (2x − 6) and the height by (x − 2). Which polynomial expression BEST represents the are

BabaBlast [244]

Area of a triangle= $\frac{1}{2} *base*height$
A= $\frac{1}{2} *(2x-6)*(x-2)$
A= $\frac{1}{2} ( 2x^{2} -4x-6x+12)$
A= $x^{2} -2x-3x+6$
A= $x^{2} -5x+6$

7 0

3 years ago

Read 2 more answers

You find $13.20 on the ground at school, all in nicke's,

den301095 [7]

Answer:SORRY:(

I do not really get the question so i do not know

Step-by-step explanation:

3 0

3 years ago