Question

d) X - SAT 2 27. The roots of quadratic equation x² - 4x + 4 = 0 are a) (-2, 1) b) (-2,-2) c) (2, 2) d) (-2, 2) 3​

Answer 1

Answer:

${x}^{2} - 4x + 4 = 0 \\ \implies \: {x}^{2} - 2x - 2x + 4 = 0 \\ \implies \: x(x - 2) - 2(x - 2) = 0 \\ \implies \: (x - 2)(x - 2) = 0 \\ so \: \\ \: \: \: \: \: \: \: \: \: \: x - 2 = 0 \: \: \: \: \: or \: \: \: \: \: x - 2 = 0 \\\implies \: x = 2 \: \: \: \: \: \: \: \: \: \: or \: \: \: \: \: \: x = 2 \\ \\ \therefore \: x = 2 \: and \: 2$

so option C) 2,2 is the correct answer