Equations

NZ Level 6 (NZC) Level 1 (NCEA)

Solving Equations through Trial and Improvement

Consider the equation $x^2=61$`x`2=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

$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

$7$7

A

$7.75$7.75

B

Easy

Approx 2 minutes

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