Solving for a Squared Variable (2.6.1)

Question 1

• The example used in this lecture shows you a problem where a variable is treated as a number. In this case, y is part of the answer when you solve for x

Answer 1

• The example used in this lecture shows you a problem where a variable is treated as a number. In this case, y is part of the answer when you solve for x

Question 2

• The quadratic formula gives us an easy way to solve equations that might appear unsolvable and that certainly involve messy numbers. You can use it for any quadratic equation.

Answer 2

• The quadratic formula gives us an easy way to solve equations that might appear unsolvable and that certainly involve messy numbers. You can use it for any quadratic equation.

Question 3

Here’s an example using the quadratic formula:
ax^2 + bx + c = 0.

In this problem,
a = 3
b = y (It’s OK to have a variable as a coefficient so long as
it is NOT the variable you are solving for.)
c = 4y^2

Now, you are ready to use the formula, a matter of simple
substitution.

Here’s what this problem looks like after you’ve substituted its “numbers” into the formula.

Next simplify in whatever ways are possible.

And here’s your answer. You have solved for x in terms of y.

Because this answer includes a negative constant, you are using “i”.

Answer 3

Here’s an example using the quadratic formula:
ax^2 + bx + c = 0.

In this problem,
a = 3
b = y (It’s OK to have a variable as a coefficient so long as
it is NOT the variable you are solving for.)
c = 4y^2

Now, you are ready to use the formula, a matter of simple
substitution.

Here’s what this problem looks like after you’ve substituted its “numbers” into the formula.

Next simplify in whatever ways are possible.

And here’s your answer. You have solved for x in terms of
y.

Because this answer includes a negative constant, you are using “i”.