Question

Write each equation explicitly in terms of x: (with steps)

Answer 1

Step-by-step explanation:

y2−x2+1=50

Step 1: Add -y^2 to both sides.

−x2+y2+1+−y2=50+−y2

−x2+1=−y2+50

Step 2: Add -1 to both sides.

−x2+1+−1=−y2+50+−1

−x2=−y2+49

Step 3: Divide both sides by -1.

−x2

−1

=

−y2+49

−1

x2=y2−49

Step 4: Take square root.

x=√y2−49 or x=−√y2−49

Answer:

x=√y2−49 or x=−√y2−49

y2+6y+9=x+8

Step 1: Flip the equation.

x+8=y2+6y+9

Step 2: Add -8 to both sides.

x+8+−8=y2+6y+9+−8

x=y2+6y+1

Answer:

x=y2+6y+1