x = -1/2 or -5
2x2 + 11x + 5 = 0
⇒ (2x + 1)(x + 5) = 0
⇒ (2x + 1) = 0 → x = -1/2
or (x + 5) = 0 → x = -5
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17x2-11x+2 = 2x2 Subtract 2x2 from both sides: 15x2-11x+2 = 0 Factorise: (3x-1)(5x-2) = 0 Solution: x =1/3 or x = 2/5
x2 + 11x + 30 = 0 (x + 5)(x + 6) = 0 so the roots are -5 and -6
-7
x3 + 2x2 - 8x + 5 = 0 x(2x - 8) + 5 = 0
2x + 12/x = 11 (x ≠ 0, eliminate the denominator by multiplying each term of the both sides by x) 2x2 + 12 = 11x (subtract 11x to both sides) 2x2 - 11x + 12 = 0 (2x - 3)(x - 4) = 0 2x - 3 = 0 or x - 4 = 0 x = 3/2 or x = 4 Since x = 3/2 and x = 4 satisfy the equation, they are the solutions of the equation.