We have that
4x²-25y²<span>-8x+50y-121=0
</span><span>Group terms that contain the same variable, and move the constant to the opposite side of the equation
</span>(4x²-8x)+(-25y²+50y)=121
Factor the leading coefficient of each expression
4(x²-2x)-25(y²-2y)=121
Complete the square twice. Remember to balance the equation by adding the same constants to each side.
4(x²-2x+1)²-25(y²-2y+1)²=121+4-25
Rewrite as perfect squares
4(x-1)²-25(y-1)²=100
<span>Divide both sides by the constant term to place the equation in standard form</span>
(4/100)(x-1)²-(25/100)(y-1)²=100/100
(1/25)(x-1)²-(1/4)(y-1)²=1
[(x-1)²]/25-[(y-1)²]/4=1
the answer is
[(x-1)²]/25-[(y-1)²]/4=1
Not sure on the graph, but I have an equation in Standard Form for you. Hope this helps! Message me with any questions!
Answer:
2) -1
Step-by-step explanation:
it is easy
we have to first open the brackets, as it is ' - ' we have to change the sign to opposite of that of the number in the bracket and then solve it.
so the number 2 is having negative sign, we make it positive. this rule is applied only when there is a negative sign and a bracket is there.
-3-(-2)
-3+2
=-1