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
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.
x3 + 2x2 - 8x + 5 = 0 x(2x - 8) + 5 = 0
2x2 + 15 = 11x ? Can be only for some values of x.2x2 + 15 = 11x subtract 11x to both sides2x2 - 11x + 15 = 0(2x - 5)(x - 3) = 02x - 5 = 0 or x - 3 = 0x = 5/2 or x = 3
no false
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
your equation is this... 2x3 + 11x = 6x 2x3 + 5x = 0 x(2x2 + 5) = 0 x = 0 and (5/2)i and -(5/2)i
x2 + 11x + 30 = 0 (x + 5)(x + 6) = 0 so the roots are -5 and -6
3
-7
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.
x3 + 2x2 - 8x + 5 = 0 x(2x - 8) + 5 = 0
8 - 2x2 = x + 22 - 7Combine like terms on the right side:8 - 2x2 = x + 15Subtract 8 from each side:-2x2 = x + 7Add 2x2 to each side:0 = 2x2 + x + 7
x2 + 7x = 2x2 + 6 x2 - 2x2 + 7x = 6 -x2 +7x - 6 = 0 or alternatively x2 - 7x + 6 = 0
The discriminant is 25.