Question

Select the correct answer.
Solve the equation by completing the square.


A.

B.

C.

D.

x2 —18x + 58 =0 is the promblem

Answer 1

Answer:

A

Step-by-step explanation:

Answer 2

By completing squares, we will see that the solutions of the quadratic equation are:

$x = \pm \sqrt{23} + 9$

How to complete squares?

Here we need to remember that:

$(a + b)^2 = a^2 + 2ab + b^2$

Now we can start with the equation:

$x^2 - 18x + 58 = 0$

We can rewrite this as:

$x^2 - 2*9*x + 58 = 0$

Now we can add and subtract nine squared to get:

$x^2 - 2*9*x + 81 - 81 + 58 = 0\\\\(x^2 - 2*9*x + 81) - 23 = 0\\\\(x - 9)^2 = 23$

So the two solutions are:

$x = \pm \sqrt{23} + 9$

If you want to learn more about completing squares:

https://brainly.com/question/10449635

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