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DaniilM [7]
1 year ago
15

What is the solution to the equation below? √x+3 = x-3

Mathematics
1 answer:
Greeley [361]1 year ago
3 0

Answer:

B) x = 6

Step-by-step explanation:

first, square both sides: x + 3 = x^2 - 6x + 9 (using the (a+b)^2 identity)

second, move the x + 3 to the right side to get a quadratic that equals 0: x^2 - 7x + 6 = 0

solve & factor the quadratic: (x - 6) (x - 1), so the solutions are x = 6 and x = 1

x = 1 isn't an answer, so the answer is b) x = 6

hope this helps! <3

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The equation x + y = z relates the whole numbers x, y, and z. How does z compare to x?
creativ13 [48]

Answer:

C. x is y less than z

Step-by-step explanation:

x+y=z

by using transposition

x = z-y

whatever x is, it is equal to the value of y taken from z

8 0
2 years ago
What are the real and complex solutions of the polynomial equation? x^3-64=0
Marrrta [24]

Answer:

Step-by-step explanation:

A difference of two perfect cubes,  x^3 - y^3 can be factored into

(x-y) • (x^2 +xy +y^2) =0  equation 1

x ^3 - 64 = 0

(x)^3 - (4)^3 = 0   equation 2

Now substituting equation 2 into equation 1, we get

(x-4) (x^2+(x).(4) +(4)^2) = 0

(x-4) (x^2+4x+16) = 0

so the solutions are

1) x - 4 =0

x=4

x^2 + 4x + 16 = 0

By using the quadratic formula we get the followig solutions:

          - B  ±  √ B2-4AC

 x =   ————————

                     2A

x =(-4-√-48)/2=-2-2i√ 3 = -2.0000-3.4641i

x =(-4+√-48)/2=-2+2i√ 3 = -2.0000+3.4641i

4 0
3 years ago
If only 4 of your 15 employees showed up for a shift; what percent of the
lys-0071 [83]

Answer: 26.6667%

Step-by-step explanation: :)

6 0
3 years ago
Read 2 more answers
Solve the equation for y 5x-7y=10
leva [86]

Answer:

y = 5x/7 + 10/-7

Step-by-step explanation:

subtract 5x from both side and you should get -7y = -5x + 10

divide negative 7 into both side -7/-7 = -5x/-7 + 10/-7

and the answer is y = 5x/7 + 10/-7

4 0
3 years ago
If you have 8 cups of berries and it takes 2/3 cup to make a dessert how many desserts can you make?
Alik [6]
To find this we want to divide 8 cups by 2/3 cup per dessert.

To divide by a fraction, multiply the forst number by the reciprocal of the second.
(8/1)*(3/2)= 24/2
24/2=12

Final answer: 12 desserts
6 0
3 years ago
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