A rectangular garden ABCD is 40 metres and the length of the diagonal (AC) is 10 metres. Calculate the breadth of the garden.

Mlinganyo ni:

$$5t^2 - 30t + 40 = 0$$

Nambari hizo ni $-20t$ na $-10t$.

$$5t^2 - 20t - 10t + 40 = 0$$

Kutoka kundi la kwanza ($5t^2 - 20t$), toa $5t$. Kutoka kundi la pili ($-10t + 40$), toa $-10$.

$$5t(t - 4) - 10(t - 4) = 0$$

$$5t - 10 = 0 \quad \text{au} \quad t - 4 = 0$$

Kutatua kipengele cha kwanza:

$$5t = 10$$ $$t = \frac{10}{5}$$ $$t = 2$$

Kutatua kipengele cha pili:

$$t = 4$$

Hivyo, thamani za $t$ ni:

$$t = 2 \quad \text{au} \quad t = 4$$