nestdvd52
nestdvd52 nestdvd52
  • 28-07-2021
  • Mathematics
contestada

What is the next step in solving 0 = x2 + 6x – 10 by completing the square, after you cut 6 in half?

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 28-07-2021

Answer:

see below

Step-by-step explanation:

0 = x^2 + 6x – 10

Add 10 to each side

10 = x^2-6x

Take the coefficient of x

-6

Divide by 2

-6/2 =-3

Square it

(-3)^2 =9

Add 9 to each side

10+9 = x^2-6x+9

We use -3 for the square term

19 = (x-3)^2

Take the square root of each side

±sqrt(19) = x-3

Add 3 to each side

3±sqrt(19) = x

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