Latikafettan
Answered

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

Verified Answer :

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

carlosego

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:


\(y ^ 2 + 2y + 1 = 48 + 1\)


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