SOLUTION: What would these equations be in standard form??? I know that this is a hyperbola - x^2-y^2-8x+10y+15=0 And this is a parabola

SOLUTION: What would these equations be in standard form??? I know that this is a hyperbola - x^2-y^2-8x+10y+15=0 And this is a parabola - y^2+4y-8x+4=0

Question 391114: What would these equations be in standard form???
I know that this is a hyperbola - x^2-y^2-8x+10y+15=0
And this is a parabola - y^2+4y-8x+4=0
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Complete the square:

Constant to the RHS:

Group similar terms:

Divide the x-terms by the coefficient on

. Since this is already 1, skip this step.

Divide the coefficent on the

term by 2, square the result, then add that result to both sides of the equation. -8 divided by 2 is -4. -4 squared is 16. Add 16 to both sides.

Divide the y-terms by the coefficient on

Divide the coefficent on the

term by 2, square the result, then add that result to both sides of the equation. -10 divided by 2 is 5. 5 squared is 25. But consider the -1 coefficient in front of the parentheses. Add -25 to both sides.

Factor the two perfect square trinomials in the LHS and collect terms in the RHS.

Divide both sides by -24:

One problem per post, please.

John

My calculator said it, I believe it, that settles it

The Out Campaign: Scarlet Letter of Atheism

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