SOLUTION: COMPLETING THE SQUARE 5-5 Solving a quadratic equation if the coefficient of x^2 is 1 x^2=4x-13

SOLUTION: COMPLETING THE SQUARE 5-5 Solving a quadratic equation if the coefficient of x^2 is 1 x^2=4x-13

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Question 191107: COMPLETING THE SQUARE 5-5
Solving a quadratic equation if the coefficient of x^2 is 1
x^2=4x-13
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

By the numbers:

Step 1: Variables on the left, constants on the right.

Step 2: Divide the coefficient on the 1st order term by 2, square the result, add that result to both sides of the equation (-4 divided by 2 is -2, -2 squared is 4, so add 4 to each side):

Step 3: Now that we have 'completed the square' by creating a perfect square trinomial on the left, factor it:

Step 4: Take the square root:

Clang! Buzz-Buzz-Buzz! Warning, Will Robinson! We have a negative radicand.

Step 5: Factor the -1 out of the radicand:

Step 6: Use the definition of the imaginary number

,namely

Step 7: Add 2 to both sides

John

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