f(x) = (2 - √x)^2, x > 0.?
a) solve the equation f(x) = 0
b) find f(3), giving the answer in the form a + b√3, where a and b are integers.
Update:please show working out
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a) solve the equation f(x) = 0
b) find f(3), giving the answer in the form a + b√3, where a and b are integers.
Update:please show working out
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Verified answer
a)
(2 – √(x))² = 0
2 – √(x) = 0
2 = √(x)
x = 4
b) (2 – √(3))² = 4 – 4√(3) + 3 = 7 – 4√(3)