Question
Find ‘x’ if (x³+3x)/(3x²+1) =
189/61Solution
Applying componendo and dividendo, (x³+3x+3x²+1)/(x³+3x-3x²-1) = (189+61)/(189-61)=250/128 ⇒ ((x+1)³)/((x-1)³) = 125/64 ⇒ (x+1)/(x-1) = 5/4 ⇒ x/1 = (5+4)/(5-4) ⇒ x = 9
If (a + b + c) = 18 and (ab + bc + ca) = 100, then find the value of (a² + b² + c²).
In â–³ ABC, AB = AC. A circle drawn through B touches AC at D and intersect AB at P. If D is the midpoint of AC and AP = 2.5 cm, then AB is equal to:
 `sqrt(sqrt(2+sqrt(2+sqrt(2)) ... prop)`  = ?
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If 64x3 - 343y3 = (4x - Ay) X (Bx2 + 49y2 + Cxy), then find the value of 3 X (2A + 6B) - 2C.
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If x² + px + q = 0 has roots 4 and -3, find the values of p and q.
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