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Solve each of the following equations by using the method of completing the square:
Given:
(adding on both sides)
using a2 + 2ab + b2 = (a + b)2
Hence the equation has repeated roots
x2 - 6x + 3 = 0
x2 - 4x + 1 = 0
x2 + 8x - 2 = 0
2x2 + 5x - 3 = 0
3x2 - x - 2 = 0
8x2 - 14x - 15 = 0
7x2 + 3x - 4 = 0
3x2 - 2x - 1 = 0
5x2 - 6x - 2 = 0
4x2 + 4bx - (a2 - b2) = 0
√3x2 + 10 x + 7√3 = 0
By using the method of completing the square, show that the equation 2x2 + x + 4 = 0 has no real roots.