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If x, y and z are real numbers such that (x-5)²+(y-7)²+(z-9)²= 0 then (x+y+z) is equal to

In ∆ ABC, MN ‖ BC, the area of quadrilateral MBCN=130 sqcm. If AN : NC = 4 : 5, then the area of ∆ MAN is:

Find the largest 5-digit number that is divisible by 12, 15, 18, and 24. Also, what is the remainder when this number is divided by 11?

(288 ÷ 8)² × (144 ÷ 24)³ = 24 × ? × (51840 ÷ 20)

Given that x⁸-34x⁴+1=0, x>0. What is the value of (x³+ x^-3)?

If x² – 10x + 20 = 0, then find the value of (x – 3)² + 1/(x – 3)²

(123×123×123 + 130×130×130)/(123×123 - 123×130 + 130×130) = ?