You try to find factors of 20 that add to 3.
Factors of 20 are 1/20, 2/10 & 4/5. You can't make 3 out of any of these so you have to use the quadratic formula:
x = (-b +/- (sqrt(b squared - 4 ac)))/2a
In your equation a = 1, b = -3 and c = -20
(3 +/- (sqrt(9 + 80)))/2
= (3 +/- sqrt 89)/2
= (3 +/- 9.434)/2
= 12.434/2 and -6.434/2
= 6.217 and -3.217 which are the values for x when your equation equals zero.
y = x2 - 3x - 20 is a formula linking two variables, x and y. It does not - indeed, it cannot - have a solution. The equation x2 - 3x - 20 = 0 has solutions at x = -3.217 and x = 6.217 approx.
-3x + 5 = 20 -3x = 15 x = -5
x2-3x-28
for x = -2: x2 = 4, -5x2 = -20; 3x = -6 giving -20 - (-6) = - 20 + 6 = -14.
x2-4x-21 = 0 => x = -3 or x = 7 x2-3x-18 = 0 => x = -3 or x = 6
y = x2 - 3x - 20 is a formula linking two variables, x and y. It does not - indeed, it cannot - have a solution. The equation x2 - 3x - 20 = 0 has solutions at x = -3.217 and x = 6.217 approx.
(x2 + 3x + 5)(x2 - 3x + 4)
x2 plus 3x plus 3 is equals to 0 can be solved by getting the roots.
x2 + 3y = 7 3x + y2 = 3 3y = x2 + 7 y2 = -3x + 3 y = x2/3 + 7/3 y = ± √(-3x + 3) If you draw the graphs of y = x2/3 + 7/3 and y = ± √(-3x + 3) in a graphing calculator, you will see that they don't intersect, so that the system of the given equations has not a solution.
x2+3x+2=0 (x+2)(x+1)=0 x=-2 or -1
-3x + 5 = 20 -3x = 15 x = -5
x2-3x-28
The answer to this depends on what you mean by "solve". This is not an equation, merely an expression, so there is no solution to it. If by "solve" you actually mean "factor", this can not actually be done. x2 + 3x + 7 can not be factored. If you want solve it for a value of zero, that would be: x2 + 3x + 7 = 0 x2 + 3x + 9/4 = -7 + 9/4 x2 + 3x + 9/4 = -28/4 + 9/4 x2 + 3x + 9/4 = -19/4 (x + 3/2)2 = -19/4 x + 3/2 = ± i√19 / 2 x = (-3 ± i√19) / 2 If you are looking for the derivative of the equation, that would be 2x + 3 If you want the indefinite integral, it would be x3/3 + 3x2/2 + 7x + C
5
for x = -2: x2 = 4, -5x2 = -20; 3x = -6 giving -20 - (-6) = - 20 + 6 = -14.
x2-4x-21 = 0 => x = -3 or x = 7 x2-3x-18 = 0 => x = -3 or x = 6
Squaring a binomial can be done by writing the binomial twice and multiply using FOIL method.EX: (x+3)2 = (x+3)(x+3) = x2 +3x +3x +9 = x2 + 6x +9