Question

The quadratic equation with real coefficient whose one root is 2 + √ is: (a) x2 - 2x + 1 = 0 (b) x2 - 4x + 1 = 0 (c) x2 - 4x + 3 = 0 (d) x2 - 4x + 4 = 0​

Answer 1

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x2−4x+2=0

a=1,b=−4,c=2

x=2a−b±b2−4ac

x=2(1)−(−4)±(−4)2−4(1)(2)

x=24±16−8

x=24±8

x=24±22

=22(2±2)

x=2±2.

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