Question

Solve 0 = x2 − 10x + 30 by completing the square. A. x = 5 + i and x = 5 – i B. x = 5 + i5√ and x = 5 − i5√ C. x = −5 − i6√ and x = −5 + i6√ D. x = −5 − i5√ and x = −5 + i5√

Answer 1

Can you shorten this for it to be easier to answer

Answer 2

Answer:

Step-by-step explanation: Firstly take the coefficient of x which is 10, separately divide the coefficient of x which is 10 by 2 and you will get 5. Then square your result i.e 5²=25.

Take the 25 and add it to the both side of your equation

X²-10x +25=30+25

It will give you this result

X²-10x+25= 55

Then look for the factors of 25 i.e numbers you can multiply together to get 25 and still add the numbers together to get 10.

The result will be 5x5= 25

5+5=10

Then, you will replace the coefficient of x in the question with the double 5

X²-5x-5x+25=55

Factorize your result by making the common factor the coefficient

X²-5x-5x+25=55

X(x-5)-5(5-5)=55

Note: -×+=-

Therefore, you will get (x-5)(x-5) or (x-5)²=55