To solve by completing the square, we need to rearrange the equation to isolate the variable on one side:
v^2 - 30v = -7
v^2 - 30v + 225 = -7 + 225
(v - 15)^2 = 218
Now we have a perfect square trinomial on the left side. Taking the square root of both sides, we get:
v - 15 = ±√218
v = 15 ± √218
So the solutions are:
v = 15 + √218
v = 15 - √218
These answers cannot be simplified further.
Solve by completing the square.
v^2 − 30v = –7
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
1 answer
1 answer