Learning Materials
Features
Discover
Chapter 7: Problem 5
Verify that the given value is a solution of the given equation. $$ \frac{1}{3} x+\frac{4}{3}=2, x=2 $$
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
Use the method of completing the square to derive the formula for solving a quadratic equation.
Solve the following quadratic equations by an appropriate method. (a) \(x^{2}+16 x+64=0\) (b) \(x^{2}-6 x+3=0\) (c) \(2 x^{2}-6 x-3=0\) (d) \(x^{2}-4 x+1=0\) (e) \(x^{2}-22 x+121=0\) (f) \(x^{2}-8=0\)
Verify that \(x=2\) and \(x=3\) are both solutions of \(x^{2}-5 x+6=0\)
If \(x^{3}-17 x^{2}+54 x-8=(x-4) \times\) a polynomial, state the degree of the polynomial.
Given \(a\) is proportional to \(b\), state which of the following are true and which are false: (a) when \(a\) doubles, then \(b\) also doubles (b) when \(a\) is halved, then \(b\) is doubled (c) a graph of \(a\) against \(b\) is a straight line graph (d) \(a\) divided by \(b\) is a constant
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App