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Solving Quadratic Equations By Square Root (解二次方程的根)
Solving Quadratic Equations Solving Quadratic Equations
By Square Root Method By Completing The Square
2 2 1. Put the equation in a form such that the quadratic and
Consider the equation x = a , which we now solve:
linear terms are on one side of the equation and the
2 2 constant term is on the other side.
x = a
2 2
x – a = 0
(x – a)(x + a) = 0
x – a = 0 x + a = 0 2. Make sure that the quadratic coefficient is one. Divide
both sides by the coefficient if necessary.
x = a x = –a
x = ±a
3. Make the critical calculations:
Because we solve certain equations the same way all the time,
we can now take a shortcut.
a) Take the linear coefficient.
b) Take half of it (or divide it by 2).
c) Square it.
Square R
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