What is the intermediate step in the form (x+a)^2 = b as a result of completing the square for the following equation?

Mathematics

2 answers:

Pepsi [2]2 years ago

7 0

Assuming you are speaking of the Real Numbers…

x^2+66=14x+15

x^2 - 14x + ?? = -51

x^2 - 14x + (half of -14 squared) = -51 + (half of -14 squared)

x^2 - 14x + 49 = -51 + 49

(x - 7)^2 = -2

By the way, in the real number system, you can’t square any number and get a negative so the above equation has no solution. If you allowed for complex solutions…there would be two of those.

lawyer [7]2 years ago

6 0

Answer:

Sorry don't know the answer.

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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the cir

FromTheMoon [43]

The statements which are correct about the equation of circle $x^{2} +y^{2}-2x-8=0$ are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is $x^{2} +y^{2} =9$ .

Given the equation of circle be $x^{2} +y^{2}-2x-8=0$ .

We are required to find the appropriate statements related to the equation $x^{2} +y^{2}-2x-8=0$ .

$x^{2} +y^{2}-2x-8=0$ can be written as under:

$x^{2} +y^{2} -2x+1-9=0$

$x^{2} +1^{2}-2x+y^{2} -9=0$

$(x-1)^{2}+y^{2}$ -9=0

$(x-1)^{2} +y^{2} =9$

$(x-1)^{2}+y^{2} =3^{2}$

Equation of a circle usually in the form $x^{2} +y^{2} =a^{2}$ in which a is radius.

From the comparison of both the equations we get that radius is 3 units.

From the equation point will be (1,0). It is on the x axis.

Hence the statements which are correct about the equation of circle $x^{2} +y^{2}-2x-8=0$ are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is $x^{2} +y^{2} =9$ .

Learn more about radius at brainly.com/question/24375372

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10 months ago

Heather's employer pays 80% of her health insurance premium. If the annual premium is $2447.25 and she is paid weekly, how much

FrozenT [24]

Answer:

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Step-by-step explanation:

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