The brix value in sugarcane juice gives an estimate

If (a - b - c) = 6, and (ab - bc + ca) = 117, then find the value of (a ²  + b ²  + c ² )

If (6x + y) = 180 and 5x:2y = 25:12, then find the value of (2x² + 5y²).

If {x + (1/x)} = 4, then find the value of {x² + (1/x²)}

(a + 7)² + (b – 2) ² + (c + 3) ² = 0, then find the value of 3a - 2b + c.

ABCD is a cyclic quadrilateral in which AB =16.5 cm. BC = x cm. CD= 11 cm. AD 19.8 cm, and BD is bisected by AC at O. What is the value of x?

For which value of k does the quadratic equation

x² − 4(k + 1)x + (3k² + 8k + 4) = 0

have equal real roots?

If x = 21, then the value of x⁵ - 22x⁴ + 22x³ - 22x² + 22x - 1 is

What is the HCF of (x³ + 3x² - x - 3) and (x³ + 4x² + x - 6)?

If ( p = 40 - q - r ) and ( pq + r(q + p) = 720 ), then find the value of ( p² + q² + r²).

If p = 11, then what is the value of