hi. i need help with these problems as shown. i believe mostof them refer to irr

Question

hi. i need help with these problems as shown. i believe mostof them refer to irrational answers in simplest radical form, but iam not sure. please help me with these problems, and i will be sureto rate back ASAP! solve the equations by completing the square by factoring orusing a different method. [express irrational answers in simplestradical form] for ex : x2-4x+3=0   (x-3)(x-1) thus: x={3,1} 1)3x2-12x+5=0                      2)z2=6-z hi. i need help with these problems as shown. i believe mostof them refer to irrational answers in simplest radical form, but iam not sure. please help me with these problems, and i will be sureto rate back ASAP! solve the equations by completing the square by factoring orusing a different method. [express irrational answers in simplestradical form] for ex : x2-4x+3=0   (x-3)(x-1) thus: x={3,1} 1)3x2-12x+5=0                      2)z2=6-z

Explanation / Answer

given ax^2 + bx + c = 0    recall thequadratic formula x = [ - b ± [b^2 - 4ac] ]/2a 1) 3x^2 - 12x + 5 = 0     a = 3 , b = - 12, c = 5 so   x = [ 12 ± [144 - 60 ] ]/ 6 = [ 12 ± 84 ] / 6 = [ 12 ± 221 ] /6 = [6 ± 21] / 3 2) z^2 = 6 - z     gather everything onleft side     z^2 + z - 6 = 0     nowwe factor    ( z + 3 )( z - 2 ) = 0   now wesolve     z = - 3 or z = 2 hope this helps

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