Equations
Hong Kong
Stage 4 - Stage 5
Solving Equations through Trial and Improvement
Interactive practice questions
Consider the equation $x^2=61$x2=61.
a
Complete the gaps to determine between which two consecutive whole numbers $\sqrt{61}$√61 lies.
$\editable{}$ < $\sqrt{61}$√61 < $\editable{}$.
b
Is $61$61 closer to $49$49 or $64$64?
$49$49
A
$64$64
B
c
Hence, determine which is the better approximation for the positive value of $x$x.
$7$7
A
$7.75$7.75
B
Easy
1min
Consider the equation $x^3=13$x3=13.
Easy
1min
Consider the equation $x^3-272=0$x3−272=0.
Easy
2min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account