Slide 2:
In order to solve quadratics using the square root
method, you will need to take the square root of
both sides of the equations. For example: Take the square root of both sides: And solve the equation:
Slide 3:
Often this method will need to be used with numbers
that are NOT perfect squares – simplify using the
rules for simplifying radicals. Square root both sides Simplify
Slide 4:
Another thing to remember is that this method requires
the equation to be in the form x2 = c so if it is not, you
may need to “isolate” the squared term. Isolate x2 by adding 5
then dividing by 2 Take the square root of
both sides (Don’t forget
there are 2 answers!)
Slide 5:
There may also be times when the “squared term” is
a quantity: Take the square root of both
sides. (The square root of
a quantity squared is that
quantity.) Since the square root of 16 is a whole number, you can find 2 real number answers. x+3 = 4 AND x + 3 = -4 SO X = 1 AND x = -7
Slide 6:
More examples: X + 1 = 2 AND x + 1 = -2
x = 1 AND x = -3 Square root Add 2 Isolate the squared:
Add 3 and divide by 2 Square root Solve