Solutions: \( n = \frac{-2 + 21.07}{2} \approx 9.535 \) (valid, as \( n \) must be positive integer).

February 22, 2026

$Solutions: \( n = \frac{-2 + 21.07}{2} \approx 9.535 \) (valid, as \( n \) must be positive integer).$

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Use the quadratic formula: \( n = \frac{-2 \pm \sqrt{2^2 + 4 \times 110}}{2} \).
Calculate: \( n = \frac{-2 \pm \sqrt{4 + 440}}{2} = \frac{-2 \pm \sqrt{444}}{2} \).
Approximate \( \sqrt{444} \approx 21.07 \).
Round to nearest integer: \( n = 10 \).
An isosceles triangle has an area of \(48 \, \text{cm}^2\). If the base is increased by \(4 \, \text{cm}\) while the equal sides remain unchanged, by how many square centimeters does the area increase? Assume the equal sides are \(10 \, \text{cm}\) each.
Let the base of the original isosceles triangle be \(b\). The area of the triangle is given by:

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