Solve for x
:
(x - H)^2 + K = 0
x = {}
or x = {}
Add abs( K )
to both sides so we can start isolating x
on the left:
\qquad (x - H)^2 = -K
Take the square root of both sides to get rid of the exponent.
\qquad \sqrt{(x - H)^2} = \pm \sqrt{-K}
Be sure to consider both positive and negative CONSTANT
, since squaring either one results
in -K
.
\qquad x - H = \pm CONSTANT
Add abs( H )
to both sides to isolate x
on the left:
Subtract abs( H )
from both sides to isolate x
on the left:
\qquad x = H \pm CONSTANT
Add and subtract CONSTANT
to find the two possible solutions:
\qquad x = H + CONSTANT \quad \text{OR_TEXT} \quad x = H - CONSTANT
Determine where f(x)
intersects the x
-axis.
f(x) = (x - H)^2 + K
The function intersects the x
-axis where f(x) = 0
, so solve the equation:
\qquad (x - H)^2 + K = 0