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Every profession starts with school maths.

Nebular finds the gaps from earlier grades and helps your child close them.

I want to become
IT & AI
Engineering
Economics
Architecture
Medicine
School maths a software developer usesGrades 5–11
CoordinatesGrade 6
Linear equationsGrade 7
ProbabilityGrade 9
LogarithmsGrade 11
PercentagesGrade 6
Download on theApp Store GET IT ONGoogle Play
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Quadratic equationsGrade 9
Learn 3/3 Practice 0/3
Mini lesson · 2 min
Solving quadratic equationsFind x by factoring the left side
Key ideas
Write it as ax² + bx + c = 0
Factor the left side into two brackets
If a product is zero, one bracket is zero
Worked example
Problemx² − 5x + 6 = 0
Solution
1
Two numbers: product 6, sum −5−2 and −3
2
Factor(x − 2)(x − 3) = 0
3
Set each bracket to zerox = 2 or x = 3
✓x = 2, x = 3
Your turn
Solve this onex² − 7x + 12 = 0Use the same steps as the example
Your answer
✓
Correct(x − 3)(x − 4) = 0
Practice · problem 2 of 3
Solve2x² − 3x − 2 = 0
Your answer
✕
Not quitex = 1 doesn’t satisfy the equation
Gap foundGrade 8
Factoring when a ≠ 1Here a = 2, so the numbers come from a·c = −4, not from c.
3of 3Practice complete!Quadratic equations · factoring
✓Problem 1
✓Problem 2with the tutor
✓Problem 3
✓Gap closed: factoring when a ≠ 1
Next: worked example
Stuck? Ask me
AI tutorProblem 2 · factoring when a ≠ 1
Ask a question…
Meet Arman, Grade 9

Arman isn’t bad at maths. A lower step is missing.

Every rung is a topic from a school year. Miss one, and the ones above it are out of reach, however hard he tries.

Arman climbing a ladder with one lower rung missing
Grade 9 homeworkx⁴ − 5x² + 4 = 0Biquadratic equation · out of reach for now
Grade 8 · Quadratic equationsMissing
Grade 7 · Linear equationsSolid
Arman’s week with Nebular

From a stuck homework to solving it on his own

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Diagnostic
Diagnostic6/20
Question 6Solve the equation:
x² − 5x + 6 = 0
Your answer:
✕
Not quite. That’s useful to know.The next question checks a Grade 8 step this one depends on.
Next question
01Arman takes the diagnostic

Question 6 is a Grade 8 quadratic. He gets it wrong, so Nebular marks quadratic equations as his gap.

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Homework
Algebra · Task 4Grade 9 · due Thursday
x⁴ − 5x² + 4 = 0
✓
Let t = x²Grade 9 · you can do this
!
Solve t² − 5t + 4 = 0Grade 8 · Quadratic equations. The gap from your diagnostic
3
Find x from tOpens after step 2
Solve step 2 with the tutor
02His homework hits the same gap

On Tuesday he photographs Task 4. Nebular splits it into steps. He can do the first one, but the second is a quadratic equation.

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Homework · Task 4
Step 2 of 3Grade 8 gap
Step 2 · Solvet² − 5t + 4 = 0
TutorHints only
So t² − 5t + 4 = (t − 1)(t − 4). When is a product equal to zero?
When one of the brackets is zero. So t = 1 or t = 4?
Right. Now remember t = x². What does that give you for x?
x² = 1 and x² = 4, so x = ±1 and x = ±2
Check one of them in the original equation.
2⁴ − 5·4 + 4 = 16 − 20 + 4 = 0. It works!
✓ Solved without being given the answer
03The tutor helps with that step

The tutor already knows about his gap, so it starts there. It asks questions and gives hints until Arman solves it himself.

What’s inside Nebular

Everything your child needs for school maths, in one app

01Diagnostic that finds the real gaps

About 20 adaptive questions. It checks up to three grades back to find the topic that’s actually missing.

02A practice path made for your child

Practice starts with the gaps the diagnostic found. Topics already known are skipped.

03Homework from school

Teachers set homework in the app. Each task shows which steps rely on a gap your child is working on.

04An AI tutor for every problem

Help on homework, practice or any maths question. It asks questions and gives hints instead of answers.

05Intuitive video lessons

Every topic starts with a short video that explains the idea step by step, then a worked example to follow.

06Progress you can see

Where your child stands in each topic, which gaps are closed and which are left.

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Diagnostic
Looking for gapsGrade 9 · checking up to 3 grades back
Grade 9Biquadratic equations
Needs Grade 8
Grade 8Quadratic equations
Gap found
Grade 7Linear equations
Solid
Grade 6Proportions
Solid
Each answer picks the next question, so it takes about 20 questions.
Your Practice Path
Ready to practice, Arman?Starts with the gap from your diagnostic
x²Quadratic equations
Incomplete quadratics★★★Mastered
Review
Standard form★★★Proficient
Review
Solving by factoring★★★In Progress
Continue
6 of 10 attempts completed
The quadratic formulaIntermediate
Locked
x⁴Biquadratic equations
Substitution t = x²Grade 9
Locked
Homework
Algebra · Task 4Grade 9 · due Thursday
x⁴ − 5x² + 4 = 0
✓
Let t = x²Grade 9 · you can do this
!
Solve t² − 5t + 4 = 0Grade 8 · Quadratic equations. The gap from your diagnostic
3
Find x from tOpens after step 2
Solve step 2 with the tutor
Tutor
HomeworkPracticeAny question
Why does x² = 4 give two answers?
What do you get if you square −2?
4. Oh, so x = −2 works too
Exactly. Check it in the original equation.
Ask the tutor…
Quadratic equations
Mini lesson · 2 min
Solving quadratic equationsFind x by factoring the left side
Key ideas
Write it as ax² + bx + c = 0
Factor the left side into two brackets
If a product is zero, one bracket is zero
Next: worked example
Your progress
Grade 9 · this week
A
You did it!Proportions mastered · Grade 6 gap closed★★★
Skills in progressPractice path
Quadratic equations★★★
Biquadratic equations★★★
Gaps from earlier grades2 of 3 closed
✓Adding fractions · Grade 6✓Proportions · Grade 6!Quadratic equations · Grade 8
Are you a teacher or a school? See Nebular for schools →
Arman sitting at the top, next to a ladder with every rung in place

Start with the diagnostic.

It’s about 20 questions, the same way Arman started. You can stop and finish it later.

App Store Google Play
Have a school code from your teacher? Enter it when you open the app.