Find the missing whole number that makes the following number sentence correct. (2 marks)
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\(\text{Using trial and error method:}\)
\(\text{Test 1st square number}\ \rightarrow 1\)
| \(\text{LHS:}\) | \(\ 3\times 1^2+(\sqrt{25}-1)=3\times 1+(5-1)\) |
| \(=7\) | |
| \(\text{RHS:}\) | \(\ \sqrt{1}\times 9\times 3-5=1\times 27-5\) |
| \(=23\) |
\(\text{LHS }\ne\text{ RHS}\)
\(\text{Test 2nd square number}\ \rightarrow 4\)
| \(\text{LHS:}\) | \(\ 3\times 4^2+(\sqrt{25}-4)=3\times 16+(5-4)\) |
| \(=49\) | |
| \(\text{RHS:}\) | \(\ \sqrt{4}\times 9\times 3-5=2\times 27-5\) |
| \(=49\) |
\(\text{LHS }=\text{ RHS}\)
| \(\therefore \ \) | |