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" 10."x^(2)+(x)/(sqrt(2))+1=0...

" 10."x^(2)+(x)/(sqrt(2))+1=0

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Solve the Equation: (i) x^(2)+x+(1)/(sqrt(2))=0 (ii) x^(2)+(x)/(sqrt(2))+1=0 (iii) x^(2)+(x)/(2)+1=0 .

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

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

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

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

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

lim_(x rarr1)(sqrt(x^(2)+8)-sqrt(10-x^(2)))/(sqrt(x^(2)+3)-sqrt(5-x^(2)))=

d/(dx)[cos^(-1)(xsqrt(x)-sqrt((1-x)(1-x^2)))]= 1/(sqrt(1-x^2))-1/(2sqrt(x-x^2)) (-1)/(sqrt(1-x^2))-1/(2sqrt(x-x^2)) 1/(sqrt(1-x^2))+1/(2sqrt(x-x^2)) 1/(sqrt(1-x^2)) 0 b. 1//4 c. -1//4 d. none of these

d/(dx)[cos^(-1)(xsqrt(x)-sqrt((1-x)(1-x^2)))]= 1/(sqrt(1-x^2))-1/(2sqrt(x-x^2)) (-1)/(sqrt(1-x^2))-1/(2sqrt(x-x^2)) 1/(sqrt(1-x^2))+1/(2sqrt(x-x^2)) 1/(sqrt(1-x^2)) 0 b. 1//4 c. -1//4 d. none of these