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- If (6x + y) = 180 and 5x:2y = 25:12, then find the value of (2x² + 5y²).
- If x² - 2x + 1 = 0, then find the value of (x³ + x⁻³)(x + x⁻¹).
- If 15a2 + 1 = 20a, then find the value of {(9a2 + 1)/25a2}
- (x – 4)2 + (y + 3) 2 + (z – 5) 2 = 0, then find the value of 2x + 3y – z.
- If a + b + c = 14 and ab + bc + ca = 60, then find the value of a² + b² + c².
- Find ‘x’ if (x³+3x)/(3x²+1) = 189/61
- If, 6x + y = 20, and 2xy = 32, and 6x > y, then find the value of 216x³ – y³.
- If x + y = 2 and 1/x + 1/y = 18/15, then find the value of (x3 + y3)?
- If x = a(b - c), y = b(c – a) and z = c(a - b) , find the value of (x/a)3 + (y/b)3 + (z/c)3?
- If {x + (1/x)} = 8, then find the value of {x 4 + (1/x 4 )}.
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