4 years ago

Explain how modeling partial products cans be used to find products of greater numbers

1 answer:

7 0

It is easier to multiply. For example: 63 multiply by 7
63 x 7 = (60+3) x 7 = 60 x 7 + 3 x 7 = 420 + 21 = 441

Another example : 25 x 73
25 x 73 = (20+5) x (70+3) = 20 x 70 + 20x3 + 5x70 + 5x3

= 1400 + 60 + 350 + 15 = 1875

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Can someone PLEASE solve this quadratic equation by factoring with the steps? :(

salantis [7]

Answer:

There are no simple factors to this expression. You can however solve for x, giving you:

x = -1 ± √(y + 3)

Step-by-step explanation:

There is no simple pair of factors to this equation, so we'll have to go through the full process. You can see that by observing that there is no pair of rational numbers that add to make 2 and multiply to make -2. We can however solve for x:

$y = x^2 + 2x - 2\\y + 2 = x^2 + 2x\\y + 3 = x^2 + 2x + 1\\y + 3 = (x + 1)^2\\(x + 1)^2 = y + 3\\x + 1 = \pm \sqrt{y + 3}\\x = -1 \pm \sqrt{y + 3}$