2y2 - 2y - 24 has the factors (2y + 6) and (y - 4) There is a formula, but I always use trial and error. The factors of the non-x element need to be such that they can be added to give the middle element. So when you get 24, then you need to be looking at 2,12 - 3,8 - 4,6 When both the second and third element are minus values then there is a plus and a minus in the factors.
mathematics: to combine terms that are alike
5(x + 2y2)(x2 - 2xy2 + 4y4)
12y3 - 30y2 + 12yFactor out a y:y(12y2 - 30y + 12)Factor out a 6:6y(2y2 -5y + 2)Factor 2y2 - 5y + 26y(2y - 1)(y - 2)
8
It is not factorable because if you do the quadratic formula you get -6+/- √ 68 __________ 4 √ is a square root sign...sorry it doesnt really look like one quadratic formula x=-b+/- √ b2-4ac ____________ 2a a=2 b=6 c=-4
1/3 - 2/(2y + 1) = 3/y Provided that y ≠-1/2 and y ≠0, multiply through by 3y(2y+1) to give y(2y + 1) - 6y = 9(2y+1) that is, 2y2 + y - 6y = 18y + 9 or 2y2 - 23y - 9 = 0 The quadratic formula then gives y = [23 ± sqrt{232 - 4*2*(-9)}]/(2*2) = [23 ± sqrt(601)]/4 so that y = -0.3788 or y = 11.8788
this equals to 12
2y2 + y = -11yAdd 11y to each side of the equation:2y2 + 12y = 0Divide each side by 2:y2 + 6y = 0Factor the left side:y (y + 6) = 0The equation is true if either factor is zero:y = 0or (y + 6) = 0y = -6
The y-intercept is the place (or places) where x=0 . So if 'x' is 2y2+3y+1 , then all you have to do is find places where 2y2+3y+1 is zero, and those are your y-intercepts.
1
-5
2(y^2 + 3y - 2)
Question: x = 2y2 +3 if x = 53 what NEGATIVE value of y makes this an equality Answer: x= 2y2 + 3 53 = 2y2 + 3 53 - 3 = 2y2 50/2 = y2 25 = y2 Take the Square Root of Both sides so we can get: y = Square root of 25 so: y = EITHER 5 or -5 Then the ANSWER is -5 (since we need the NEGATIVE Value of Y)
5x2 - 2y2 = -20 7x2 - y2 = 152 Eq1 - 2*Eq2: -9x2 = -324 so that x2 = 36 Substituting the value of x2 in Eq1: 2y2 = 200 so that y2 = 100 The four solutions are (-6, -10), (-6, 10), (6, -10) and (6,10)
2(y - 3)(y - 10)
10x2y2 + 8xy2 - 210y2 = 2y2(5x2 + 4x - 105) = 2y2(5x2 + 25x - 21x - 105) = 2y2(x + 5)(5x - 21).