x2 = 11x - 10
∴ x2 - 11x + 10 = 0
∴ (x - 10)(x - 1) = 0
∴ x ∈ {1, 10}
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To solve for x: x2 = 11x - 10 x2 - 11x = -10 x2 - 11x + 10 =0 (x - 1)(x - 10) = 0 x = {1, 10)
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x2+11x+11 = 7x+9 x2+11x-7x+11-9 = 0 x2+4x+2 = 0 The above quadratic equation can be solved by using the quadratic equation formula and it will have two solutions.
5x + 32 = 11x - 105x - 11x = -10 - 32-6x = -42x = 7
12x = 11x - 5, subtract both sides by 11x x = -5