Being Radical part 1/5

Algebra Level 2

x 2 − x 8 + 2 = 0 \large x^2-x\sqrt 8 +2=0

Solve the radical equation above and square the answer.


The answer is 2.

Albert Go by Albert Go , 33, Philippines

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1 solution

Albert Go
Nov 19, 2015
  • x 2 − x 8 + 2 = 0 { x }^{ 2 }-x\sqrt { 8 } +2=0
  • x 2 − 2 x 2 + 2 = 0 { x }^{ 2 }-2x\sqrt { 2 } +2=0
  • Using rule of perfect squares:
  • ( x − 2 ) 2 = 0 { (x-\sqrt { 2 } ) }^{ 2 }=0
  • x= 2 \sqrt { 2 }
  • Squaring the answer: = 2
2 Helpful 0 Interesting 0 Brilliant 0 Confused

I would not call this a radical equation. I think it is a quadratic equation.

Marta Reece - 3 years ago

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