What two numbers add to 4 and when multiplied together equal 5

Answers

Answer 1

Answer:

Answer:

$\large\text{no real solution}\n\n\text{complex solution}$

$\large\boxed{x=2+i\ and\ y=2-i\ or\ x=2-i\ and\ y=2+i}$

Step-by-step explanation:

$x,\ y-\text{the numbers}\n\nx+y=4\nxy=5\n\nx+y=4\qquad\text{subtract y from both sides}\nx=4-y\n\n\text{substitute it to the second equation}\n\n(4-y)y=5\qquad\text{use distributive property}\n\n4y-y^2=5\n\n-y^2+4y=5\qquad\text{change the signs}\n\ny^2-4y=-5\n\ny^2-2(y)(2)=-5\qquad\text{add}\ 2^2\ \text{to both sides}\n\ny^2-2(y)(2)+2^2=-5+2^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\n\n(y-2)^2=-5+4\n\n(y-2)^2=-1<0\to\boxed{no\ real\ solution}$

$\text{If you need the complex solution, then}\n\n(y-2)^2=-1\to y-2=\pm√(-1)\n\ny-2=-i\ \vee\ y-2=i\qquad\text{add 2 to both sides}\n\n\boxed{y=2-i\ \vee\ y=2+i}\n\n\text{Put the values of y to the first equation:}\n\nx=4-(2-i)\ \vee\ x=4-(2+i)\n\nx=4-2+i\ \vee\ x=4-2-i\n\n\boxed{x=2+i\ \vee\ x=2-i}$

Related Questions

The sum of a number and seven times of it is equal to the product of 25.6 and 12.5. What will be one fourth of that number?
Which value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y?ОА17ОВ.79Ос.87D. -9OE.ف هاییResetNext
Hi can someone help me with this
Alex is renting a kayak from Barry's boats who charges \$7.49$7.49 per hr ++ an initial rental fee. For 22 hr it will cost him \$35.18$35.18 what is the initial fee Alex will pay
If g(x) = 3-2(x-9) then what is g (8)

Winnie write the following riddle.I am a number between 60 and 100.My ones digit is teo less than my trns digit.I am a prime number.Winnie's friend Marci guessed that her riddle was about the number 79.Why can't 79 be the answer to Winnie's riddle?

Answers

The criteria is
Between 60 & 100
Units digit 2 less than tens
Prime number

79 is a number between 60 & 100 and it is a prime number (as its only factors are 1 and itself), however 79 has a tens digit that is 2 less than the units - not the units 2 less than the tens.
As it does not comply with one of the rules the number cannot be 79

The number that would work is 97

Which is an equation of the line containing the points (4, 10) and (6, 11) in standard form?–x + 2y = 16

2x – y = –2

x + 2y = 24

x – 2y = –16

Answers

Hello,

Answer A
y-10=(11-10)/(6-4) * (x-4)
==>2y=x+16
==>-x+2y=16

If 3 pounds of potato-salad feeds 15 people, how many pounds would you need for 200 people?

Answers

If 3 pounds of potato salad feeds 15 people, then 1 pound of potato salad would feed 5 people. Now divide 200 by 5 to get the number of pounds. 200/5 = 40 pounds

3(x - 4) + 6 = 5(x - 1) + 1 solve for x and show work

Answers

Answer:

x= -1

Step-by-step explanation:

open brackets and calculate

3x - 12 + 6 = 5x -5 + 1

Calculate

3x - 6 = 5x - 4

transpose

3x - 5x = - 4 + 6

Calculate

- 2x = 2

x= 2/-2

x= -1

Answer:

X = -1

Step-by-step explanation:

3(x - 4) + 6 = 5(x - 1) + 1 -distribute

3x - 12 + 6 = 5x - 5 + 1 -combine like terms

3x - 6 = 5x - 4 -subtract 3x

-6 = 2x - 4 -add 4

-2 = 2x -divide by 2

-1 = x

Hope this helps. Pls give brainliest.

Multiply or Divide

(i need this for school tomorrow)

Answers

Answer:

Ok so here are the simple rules of doing it (very easy) cause I’m not doing it all so . when multiplying a power with The same base keep the base but add the exponents. Dividing, keep the base (if their the same if not then its already simplified same with multiplication) but SUBTRACT the exponents. Also keep the parenthesis if it’s a negative number base.

I’ll do a few.

11) a^10. 11b) 5^4

12) (-2)^2.

13) 10^2. 13b) s^6

14) -4s^5(t^6) <- [Im not sure of this one)

15) x^3(y^3)

One point on a line is given the coordinate 5.3. A second point on the line has a coordinate of 8.7.The distance between these points is __________ units.