IXL - Solve a quadratic equation using the quadratic formula (Algebra 1 practice)

Solve the quadratic equation.

–

Write one exact solution in each box. You can add or remove boxes. If there are no real solutions, remove all boxes.

ref_doc_title.

Learn with an example

question

Solve the quadratic equation.

–

Write one exact solution in each box. You can add or remove boxes. If there are no real solutions, remove all boxes.

key idea

You can use the quadratic formula to solve a quadratic equation of the form

–

The discriminant is equal to

–

which is the expression that appears under the square root. A quadratic equation has no real solutions when its discriminant is negative.

solution

You were asked to solve the quadratic equation

–

Use the quadratic formula with

–

and

–

(

–

)

(

–

)

(

–

)

–

100

–

So, the solutions are

–

and

–

Simplifying,

–

and

Notice you can further simplify the solutions since

The simplified solutions are

–

and

Looking for more? Try these:

Lesson: The quadratic formula

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	06

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

K.9Evaluate rational expressions

K.8Evaluate radical expressions

Lesson: The quadratic formula

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!