Q18 of 50 Page 9

Find the value of x, if:

(i) 4x=(52)2 -(48)2


(ii) 14x=(47)2 -(33)2


(i) 4x = 522 - 482


Using formula:


(a – b) (a + b) = a2 – b2, we get


4x = (52 – 48) (52 + 48)


4x = 4 × 100


4x = 400


x = 100


(ii)14x = 472 - 332


Using formula:


(a – b) (a + b) = a2 – b2, we get


14x = (47 – 33) (47 + 33)


14x = 14 × 80


x = 80


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