A polynomial is an algebraic equation that consists of more than one term. Otherwise, it is called a monomial. The technique in producing a difference of the squares is completing of the squares method. For a quadratic formula with a general form of ax2 + bx + c = 0, you can determine c such that the formula could be factored into two monomials. The equation would be (b/2)^2.
For example, if the equation is x^2 + 2x+ __ = 0, c is solved as follows:
c = (2/2)^2 = 1
The equation would be x^2 + 2x +1 = 0. When you simplify and factor it out, the equation would become (x+1)^2 = 0.
Answer:
Step-by-step explanation:
You can break it down to:
5 * 2 * 
10 * = 10/6 Reduce to 5/3
So the problem can be simplified to:
Let (15+x) and (22+x) be the future ages of the brothers
15+x+22+x= 408
Collect like terms
37+2x=408
Move 37 to the other side as a negative number
2x=371
Divide both sides by 2
371/2 is 185.5
So, after 185.5 years, their ages will add up to be 408
9514 1404 393
Answer:
(x, y) = (1, 7.5)
Step-by-step explanation:
Solve the first equation for y, then substitute into the second equation.
y = 8 -1/2x . . . . . subtract 1/2x
2(8 -1/2x) = x +14
16 -x = x + 14 . . .eliminate parentheses
2 = 2x . . . . . . . add x-14
1 = x . . . . . . . . divide by 2
y = 8 -1/2(1) = 7 1/2
The solution is (x, y) = (1, 7 1/2).
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<em>Alternate solution</em>
Type the equations into a graphing calculator and let it show you the solution.
Lattice method, or Calculator.
