cabriantenpenny
cabriantenpenny cabriantenpenny
  • 03-10-2018
  • Mathematics
contestada

Find the solutions of the given equation.

25x^2+64=289

Find the solutions of the given equation 25x264289 class=

Respuesta :

Luv2Teach
Luv2Teach Luv2Teach
  • 07-06-2019

Answer:

D

Step-by-step explanation:

Start by subtracting 64 from both sides:

[tex]25x^2=225[/tex]

Factor this by taking roots.  Divide both sides by 25 first:

[tex]x^2=9[/tex]

We "undo" a square by taking the square roots of both sides.  Taking the square root leaves the possibilities of both the positive and negative roots of 9.  Therefore, the solutions to this are

[tex]x=\sqrt{3},-\sqrt{3}[/tex]

Answer Link

Otras preguntas

HELPPPPPPPPPPPPPPPPPPPPPPPPP
Intersecting lines are ____coplanar. sometimes never always
without actually calculating,how much greater is the product of 98times 50 than the product 97 times 50
A coach needs both small and large cones to set up an obstacle course. The coach knows there are fewer than 30 cones in the storage room. The coach needs at lea
Estimate the unit rate to the nearest hundredth $2.35
Albert Einstein's work contributed to ___________. Select all that apply.
Which is worse: Fast charging (Due to heat) or unplugging before reaching full capacity (On a normal charge)?
How slow is someone walking if they walk 22 meters in 60 seconds
Twenty less than a number is more than twice the same number . Step by step to get the answer
The slope of a line that passes through the points (-2,4) and (-3,7) is