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complete the square,x²-6x=-15​

Sagot :

Answer : No real solutions.

Step-by-Step :

x2−6x=−15

x2−6x=−15Step 1: The coefficient of -6x is -6. Let b=-6.

x2−6x=−15Step 1: The coefficient of -6x is -6. Let b=-6.Then we need to add (b/2)^2=9 to both sides to complete the square.

x2−6x=−15Step 1: The coefficient of -6x is -6. Let b=-6.Then we need to add (b/2)^2=9 to both sides to complete the square.Add 9 to both sides.

x2−6x=−15Step 1: The coefficient of -6x is -6. Let b=-6.Then we need to add (b/2)^2=9 to both sides to complete the square.Add 9 to both sides.x2−6x+9=−15+9

x2−6x=−15Step 1: The coefficient of -6x is -6. Let b=-6.Then we need to add (b/2)^2=9 to both sides to complete the square.Add 9 to both sides.x2−6x+9=−15+9x2−6x+9=−6

x2−6x=−15Step 1: The coefficient of -6x is -6. Let b=-6.Then we need to add (b/2)^2=9 to both sides to complete the square.Add 9 to both sides.x2−6x+9=−15+9x2−6x+9=−6Step 2: Factor left side.

x2−6x=−15Step 1: The coefficient of -6x is -6. Let b=-6.Then we need to add (b/2)^2=9 to both sides to complete the square.Add 9 to both sides.x2−6x+9=−15+9x2−6x+9=−6Step 2: Factor left side.(x−3)2=−6

x2−6x=−15Step 1: The coefficient of -6x is -6. Let b=-6.Then we need to add (b/2)^2=9 to both sides to complete the square.Add 9 to both sides.x2−6x+9=−15+9x2−6x+9=−6Step 2: Factor left side.(x−3)2=−6Step 3: Take square root.

x2−6x=−15Step 1: The coefficient of -6x is -6. Let b=-6.Then we need to add (b/2)^2=9 to both sides to complete the square.Add 9 to both sides.x2−6x+9=−15+9x2−6x+9=−6Step 2: Factor left side.(x−3)2=−6Step 3: Take square root.x−3=±√−6

x2−6x=−15Step 1: The coefficient of -6x is -6. Let b=-6.Then we need to add (b/2)^2=9 to both sides to complete the square.Add 9 to both sides.x2−6x+9=−15+9x2−6x+9=−6Step 2: Factor left side.(x−3)2=−6Step 3: Take square root.x−3=±√−6Step 4: Add 3 to both sides.

x2−6x=−15Step 1: The coefficient of -6x is -6. Let b=-6.Then we need to add (b/2)^2=9 to both sides to complete the square.Add 9 to both sides.x2−6x+9=−15+9x2−6x+9=−6Step 2: Factor left side.(x−3)2=−6Step 3: Take square root.x−3=±√−6Step 4: Add 3 to both sides.x−3+3=3±√−6

x2−6x=−15Step 1: The coefficient of -6x is -6. Let b=-6.Then we need to add (b/2)^2=9 to both sides to complete the square.Add 9 to both sides.x2−6x+9=−15+9x2−6x+9=−6Step 2: Factor left side.(x−3)2=−6Step 3: Take square root.x−3=±√−6Step 4: Add 3 to both sides.x−3+3=3±√−6x=3±√−6

x2−6x=−15Step 1: The coefficient of -6x is -6. Let b=-6.Then we need to add (b/2)^2=9 to both sides to complete the square.Add 9 to both sides.x2−6x+9=−15+9x2−6x+9=−6Step 2: Factor left side.(x−3)2=−6Step 3: Take square root.x−3=±√−6Step 4: Add 3 to both sides.x−3+3=3±√−6x=3±√−6Answer:

x2−6x=−15Step 1: The coefficient of -6x is -6. Let b=-6.Then we need to add (b/2)^2=9 to both sides to complete the square.Add 9 to both sides.x2−6x+9=−15+9x2−6x+9=−6Step 2: Factor left side.(x−3)2=−6Step 3: Take square root.x−3=±√−6Step 4: Add 3 to both sides.x−3+3=3±√−6x=3±√−6Answer:No real solutions.

Answer:

[tex]x^{2} -6x+(6/2)^2=15+(6/2)^2\\(x-6/2)^2=24\\(x-3)^2=24\\\\solve the equation for x\\x=-2\sqrt{6} +3\\x=2\sqrt{6}+3[/tex]

Step-by-step explanation: