SOLUTION: I have an equation: 4x^2 - 24x + 27 = 0 The first part of the question requires me to complete the square so I get: 4*(x-3)^2 - 9 = 0 Using this, how can I solve x, WITHOUT us

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Question 523334: I have an equation: 4x^2 - 24x + 27 = 0
The first part of the question requires me to complete the square so I get:
4*(x-3)^2 - 9 = 0
Using this, how can I solve x, WITHOUT using a calculator?

Found 2 solutions by gsmani_iyer, MathTherapy:
Answer by gsmani_iyer(201)   (Show Source): You can put this solution on YOUR website!
This is to be factorized first.

=
= . So either of the factors is equal to 0. Because 0 multiplied by any number is equal to 0.
= If , then 2x = 3; x = 3/2 = 1.5
= If , then 2x = 9; x = 9/2 = 4.5
x = {1.5, 4.5} Answer.
I hope you understood this. All the best.

gsm/-

Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!
I have an equation: 4x^2 - 24x + 27 = 0
The first part of the question requires me to complete the square so I get:
4*(x-3)^2 - 9 = 0
Using this, how can I solve x, WITHOUT using a calculator?



Add 9 to both sides of equation to get:



----- Dividing by 4

= ± ---- Taking square root of both sides of equation

= ±

x = ± ------ Adding 3 to both sides of equation

x = ±

x = ----- , or

OR

x = ----- , or

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