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(x + 10)^2 + (-186)

Step-by-step explanation:

x^2 + 20x - 86 =

Move the constant term to the right leaving a space between the x-term and the constant term.

= x^2 + 20x           - 86

To complete the square, take half of the x-term coefficient and square it.

Half of 20 is 10. 10 squared is 100. This is the number that completes the square. Add it right after the x-term. Now you need to subtract the same amount at the end.

= x^2 + 20x + 100 - 86 - 100

Since 100 was added and subtracted, the expression has the same value. The first three terms are a perfect square trinomial, so we write it as the square of a binomial.

= (x + 10)^2 - 186

Since you have an addition sign, we write -186 as a sum:

= (x + 10)^2 + (-186)

step-by-step explanation:

dong do iy iys a scram

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: