1.

Solve the following equations by Sridharacharya's formula : (i) x^(2)+x+4=0 (ii) 2x^(2)-2x+3=0 (iii) sqrt(2)x^(2)+x+sqrt(2)=0 (iv) x^(2)-x+2=0 (v) 25x^(2)-30x+11=0 (vi) x^(2)+3x+5=0 (vii) x^(2)-14x+58=0 (viii)x^(2)+13ix -42=0 (ix) x^(2)-11ix-30=0

Answer»


Solution :(i) `(-1pmisqrt(5))/(2)`
(II) `(1pmisqrt(5))/(2)`
(iii) `(-1pmisqrt(7))/(2sqrt(2))`
(IV) ` (1pmisqrt(7))/(2)`
(V) ` (3pmisqrt(2))/(5)`
(vi) `(-3pmisqrt(11))/(2)`
(vii) `7pm 3i`
(viii) `-6i, -7i`
(ix) `5i,6i`


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