Question

Find using srdhar aacharyas formula 3^1/2x^2+10x-8×3^1/2

Answer 1

Hi ,

√3x² + 10x - 8√3 = 0

compare above quadratic equation with

ax² + bx + c = 0 we get,

a = √3 , b = 10 , c = -8√3

discreaminant ( D ) = b² - 4ac

D = ( 10 )² - 4 × √3 × ( -8√3 )

D = 100 + 96

D = 196

√D = ± √196

√D = ± 14

Sridharacharya formula :

x = [ - b ± √D ] / 2a

= [ - 10 ± 14 ]/( 2 × √3 )

= ( -10 ± 14 )/2√3

Therefore ,

x = ( -10 + 14 )/2√3 or x =( -10 - 14 )/2√3

x = 4/2√3 or x = -24/2√3

x = 2/√3 or x = -12/√3

I hope this helps you.

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