SOLUTION: Solve the equation by completing the square.
4x2 − 16x + 13 = 0
what i got: -1 plus/minus square root -3 /2
I'm having trouble finalizing my answer. Thank you. Your
Question 497133: Solve the equation by completing the square.
4x2 − 16x + 13 = 0
what i got: -1 plus/minus square root -3 /2
I'm having trouble finalizing my answer. Thank you. Your help is appreciated ! Answer by solver91311(24713) (Show Source):
Let's follow the process and maybe you can figure out where you went astray.
Step 1: Constant term to the RHS:
Step 2: Divide by the lead coefficient:
Step 3: Divide the 1st degree term coefficient by 2. Add the square of that result to both sides: -4 divided by 2 is -2. -2 squared is 4. Add 4 to both sides:
Step 4: Factor the perfect square trinomial in the LHS and do the arithmetic in the RHS:
Step 5: Take the root of both sides:
Step 6: Add the opposite of the LHS constant to both sides:
Which you could render, if you were so inclined:
John
My calculator said it, I believe it, that settles it
