# SOLUTION: 2= sqr22-8x^2

Algebra ->  Algebra  -> Square-cubic-other-roots -> SOLUTION: 2= sqr22-8x^2      Log On

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 Click here to see ALL problems on Square-cubic-other-roots Question 102979This question is from textbook Longman Mathematics for IGCSE Maths : 2= sqr22-8x^2This question is from textbook Longman Mathematics for IGCSE Maths Answer by edjones(7569)   (Show Source): You can put this solution on YOUR website! I assume this is the problem. 8x^2+2=sqrt(22) 64x^4+32x^2+4=22 Square both sides. 64X^4+32x^2-18=0 32x^4+16x^2-9=0 divide each side by 2. 32x64+16x^2 =9 x^4+.5x^2+.0625=9/32+.0625 Complete the square on the left by dividing each side by 32 an adding .0625 to each side. (x^2+.25)^2=11/32 x^2+.25=sqrt(11/32) x^2=-.25+-sqrt(11/16*2) x^2=(-1+-sqrt(11/2))/4 x=+-sqrt(-1-sqrt(11/2))/2 gives non real results x=+-sqrt(-1+sqrt(11/2))/2=+-.579915 Ed