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Question

Question 7
Which constant must be added and subtracted to solve the quadratic equation 9x2+34x2=0
(A) 18
(B) 164
(C) 14
(D) 964

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Solution

Given equation is 9x2+34x2=0
(3x)2+14(3x)2=0
On putting 3x = y, 23 have y2+14(3x)2=0
y2+14y+(18)2(18)22=0
(y+18)2=164+2
(y+18)2=1+64+264
Thus, 164 must be added and subtracted to solve the given equation

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