" 8."2x^(2)-2sqrt(2)x+1=0quad 9

Find the discriminant of each of the following equations: (i) 2x^(2)-7x+6=0" "(ii)" "3x^(2)-2x+8=0 (iii) 2x^(2)-5sqrt(2)x+4=0" "(iv)" "sqrt(3)x^(2)+2sqrt(2)x-2sqrt(3)=0 (v) (x-1)(2x-1)=0" "(vi)" "1-x=2x^(2)

Which of the following is/are CORRECT . A) If one root of the equation x^(2)-sqrt(5)x-19=0 is (9-sqrt(5))/(2) ,then the other root is (-9+sqrt(5))/(2) B) If one root of the equation x^(2)-sqrt(5)x-19=0 is (9-sqrt(5))/(2) ,then the other root is (9+sqrt(5))/(2) C) If one root of the equation x^(2)-ix-(1+i)=0 , (i=sqrt(-1)) is 1+i find the other root -1 D) If one root of the equation x^(2)-ix-(1+i)=0 , (i=sqrt(-1)) is 1+i find the other root 1-i

THe value of x which satisfy the equation (sqrt(5x^(2)-8x+3))-sqrt((5x^(2)-9x+4))=sqrt((2x^(2)-2x))-sqrt((2x^(2)-3x+1))

Without solving , comment upon the nature of roots of each of the following equations : (i) 7x^(2)-9x+2=0 (ii) 6x^(2)-13x+4=0 (iii) 25x^(2)-10x+1=0 (iv) x^(2)+2sqrt(3)x-9=0 (v) x^(2)-ax-b^(2)=0 (vi) 2x^(2)+8x+9=0

Minimum value of (x_(1)-x_(2))^(2)+(sqrt(2-x_(1)^(2))+x_(2)-8)^2 ,where x_(1)in[-sqrt(2),sqrt(2)] and x_(2)in R is

Solve 3x^2-2sqrt8x+2=0

(1) x^(2)-(sqrt(2)+1)x+sqrt(2)=0

Which of the following are quadratic equations? x-(3)/(x)=x^(2) (ii) 2x^(2)-sqrt(3x)+9=0 (iii) x^(2)-2x-sqrt(x)-5=0

lim_(x rarr oo)((sqrt(1+25x^(2))+sqrt(9x^(2)-1))/(sqrt(1+25x^(2))-sqrt(9x^(2)-1)))=

Solve for x, when sqrt(2x^2 + 9) + sqrt(2x^2 - 9) = 9 + 3sqrt7