Which of the following tables shows the correct steps to transform x2 + 10x + 24 = 0 into the form (x − p)2 = q? [p and q are integers] (5 points)

Select one:
a.
Step 1 x2 + 10x + 24 − 1 = 0 − 1
Step 2 x2 + 10x + 23 = −1
Step 3 (x + 5)2 = −1
b.
Step 1 x2 + 10x + 24 − 2 = 0 − 2
Step 2 x2 + 10x + 22 = −2
Step 3 (x + 5)2 = −2
c.
Step 1 x2 + 10x + 24 + 2 = 0 + 2
Step 2 x2 + 10x + 26 = 2
Step 3 (x + 5)2 = 2
d.
Step 1 x2 + 10x + 24 + 1 = 0 + 1
Step 2 x2 + 10x + 25 = 1
Step 3 (x + 5)2 = 1

I would say D or A

x^2 + 10x + 24 = 0

You would use

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

x^2 + 10x + 24 = x^2  + 2 times x times 5 + 24

What you have is

2ab = 2 times x times 5  b = 5

so b^2 has to equal 25 = 5^2

you have 24 but you have to increase it by 1

x^2 + 10x + 24 = 0

x^2 + 2 times x times 5 + 24 = 0

x^2 + 2 times x times 5 + 24 + 1 = 0 + 1

x^2 + 2 times x times 5 + 25 = 1

x^2 + 2 times x times 5 + 5^2 = 1

(x+5)^2 = 1

coin flip

non-answer:

choosing

sorry if this isnt what you're looking for i dont really understand the question

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc