2x + 6 + 9x = 39 11x + 6 = 39 11x = 39 - 6 11x = 33 x = 3
6x2 + 11x + 3 = 6x2 + 9x + 2x + 3 = 3x(2x + 3) + 1(2x + 3) = (2x + 3)(3x + 1)
If you mean: (3x+1) and (2x+3) are factors of 6xsquared+11x+3 then yes they are
6x2 + 11x - 10 = (6x2 + 15x) - (4x + 10) = 3x(2x + 5) - 2(2x + 5) = (3x - 2)(2x + 5). Note, first, that the three co-efficients of the original quadratic expression are 6, 11, and -10. We need two numbers whose sum is 11 and whose product is (6)(-10) = -60. These two numbers turn out to be 15 and -4. Thus, we replace the middle term, 11x with 15x - 4x and proceed with the factorisation in the usual way.
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
2x - 13 x = 24 -11x = 24 -11x/-11 = 24/-11 x = -2 2/11
Assuming that all the terms are positive it is: 11+11x or 11x+11
We're given: 9x + 2x = 121 The first step is to group like terms on the left: (9 + 2)x = 121 11x = 121 Now divide both sides by 11: 11x/11 = 121/11 x = 11
11x
2x + 6 + 9x = 39 11x + 6 = 39 11x = 39 - 6 11x = 33 x = 3
2X^3 + 11X^2 = 6X 2X^3 + 11X^2 - 6X = 0 factor out an X X(2X^2 + 11X - 6) = 0 Now, for that quadratic equation I always go quadratic formula. Discriminant looks good for two real roots. X = -b (+/- ) sqrt(b^2-4ac)/2a a = 2 b = 11 c = - 6 X = - 11 (+/-) sqrt[11^2 - 4(2)(-6)]/2(2) X = - 11 (+/-) sqrt(169)/4 X = [- 11 (+/-) 13]/4 X = 0 X = 1/2 X = - 6
14 + 2x + 9x - 6 - 11x 14 - 6 + 2x + 9x - 11x The x values cancel themselves out, leaving just the number value The answer is therefore 8.
2x2 + 11x + 12 = 2x2 + 3x + 8x + 12 = x*(2x + 3) + 4*(2x + 3) = (2x + 3)*(x + 4)
2x = 11x + 4 Subtract 11x from both sides: -9x = 4 Divide both sides by -9: x = 4/(-9) = -0.444...
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.
11x(2x - 1) = 0 so either 11x = 0 or x = ½
2x + 9x simplified would be 11x