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Bess [88]
2 years ago
6

Complete each trinomial such that it can be rewritten in the form

Mathematics
1 answer:
lukranit [14]2 years ago
8 0

Answer:

Step-by-step explanation:

1.5x^2+6x+.... so that it can be rewritten in the form a(x+b)^2

Let .... be C

1.5x^2+6x+C

=1.5(x^2+4x+(C/1.5))

Compare above with 1.5(x+2)^2 = 1.5(x^2+4x+4)

C/1.5=4

C=6

So the expression should be 1.5x^2+6x+6

It can be rewritten to 1.5(x+2)^2

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Find two numbers, if their sum is 49 and their difference is 1/2 .
amm1812

Answer:

x=24\frac{3}{4}\\ y=24\frac{1}{4}

Step-by-step explanation:

Let the two numbers be x and y

So we have:

x +y = 49\\x-y=\frac{1}{2}

using the elimination method, add the two equations together:

2x=49\frac{1}{2} \\2x=\frac{99}{2}

solve for x:

x=\frac{99}{4}\\x=24\frac{3}{4}

substitute our value for x back into the first equation we made:

x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}

therefore,

x=24\frac{3}{4}\\ y=24\frac{1}{4}

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