annaleutiger annaleutiger
  • 09-02-2022
  • Mathematics
contestada

Solve the equation.
[tex]\sqrt{y^{2}-20+100 } =y-10[/tex]

Respuesta :

DivineSolar
DivineSolar DivineSolar
  • 09-02-2022

Answer:

No solution.

Step-by-step explanation:

So lets solve the square root.

Sqrt(y^2 - 20 + 100) = y - 10

Sqrt(y^2 + 80 = y - 10)

Solve time.

y^2 + 80 = y - 10 (We are squaring them)

y^2 + 80 = y^2 - 20y + 100

y^2 + 80 - y^2 = y^2 - 20y + 100 - y^2 (Subtract y^2 from both sides)

80 = -20y + 100

Flip it

-20y + 100 = 80

-20y + 100 - 100 = 80 - 100 (Subtract 100 from both sides)

-20y = -20

Now divide both sides by -20

-20y/-20 = -20/-20

y = 1

All you would do is plug in the values and you get...

[tex]9 \neq -9[/tex]

This is false.

Answer Link

Otras preguntas

the area of parallelogram is 16 cm2 , its base is 8cm, find its height?​
Can you create energy?
Spanish homework help please.
What is the least common multiple of 3 and7
What were the political effects of the Harlem Renaissance?
Elements in group 16 want to bond with elements in group ___.
Michael goes to the store to buy apples. He buys 3 apples for $3.75. What is the unit rate?
During the New Deal, O A. the government got bigger. O B. taxes went down. OC, government spending decreased. O D. charities went out of business,
A roller coaster has a mass of 300 kg. It drops from rest at the top of a hill that's 101 m tall. How fast is it going when it reaches the bottom? Acceleration
In two or more complete sentences, describe how you would draw the graph of the solution set for the following inequality. -3m+18 < 30 . . . . . . this is ac