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quester [9]
3 years ago
10

If you are solving y 2+2y=48 by completing the square, the next line would be

Mathematics
2 answers:
snow_tiger [21]3 years ago
6 0

For this case we have the following equation:

y ^ 2 + 2y = 48

By completing squares we have:

Step 1:

Add (\frac {b} {2}) ^ 2 on both sides:

y ^ 2 + 2y + 1 = 48 + 1

Step 2:

We rewrite the equation:

(y + 1) ^ 2 = 49

Step 3:

We solve the equation:

y = \pm \sqrt {49} -1\\y = \pm7-1

Solutions:

y = 6\\y = -8

Answer:

the next line would be:

y ^ 2 + 2y + 1 = 48 + 1


Karo-lina-s [1.5K]3 years ago
3 0
<span>What number will make y^2 + 2y + __ a perfect square? Take coefficient of y, divide by 2, then square it = (2/2)^2 = 1 So add 1 to both sides, since y^2 + 2y + 1 = (y + 1)^2 y^2 + 2y + 1 = 49 </span>
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