Year 9 Maths Introduction to Quadratic Equations and Graphs

Quadratic Equations

ACCOUNT REQUIRED

Unlock all 17 questions & worked solutions

You're viewing a free preview. Create an account to access the complete question set, step-by-step solutions, and progress tracking.

All Questions

Access the full question set for every topic.

Worked Solutions

Step-by-step explanations for every answer.

Track Progress

Mark questions right or wrong and monitor your growth.

It's Free

No credit card required - sign up in under a minute.

Questions

Question 1

42987

Write $x+\dfrac{1}{x}=3$ in standard form

Answer

$x^2-3x+1=0$

Worked Solution

$ax^2+bx+c=0$ is the standard form
\[x+\frac{1}{x}=3\]
Multiply both sides by $x$:
$$
\begin{aligned}
x^2+\frac{x}{x}&=3x\\
x^2+1&=3x\\
\therefore x^2-3x+1&=0
\end{aligned}
$$

📚 Want More Questions?

There are 16 more questions available. Create your free account to access the complete question set with detailed solutions.

Get Full Access Already Have Account?