Question 7 Which constant must be added and subtracted to solve the quadratic equation 9x2+34x−√2=0 (A) 18 (B) 164 (C) 14 (D) 964
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Solution
Given equation is 9x2+34x−√2=0 (3x)2+14(3x)−√2=0 On putting 3x = y, 23 have y2+14(3x)−√2=0 y2+14y+(18)2−(18)2−√2=0 (y+18)2=164+√2 (y+18)2=1+64+√264 Thus, 164must be added and subtracted to solve the given equation