Question

What will be the root of the equation (1/4) x +4 =5/4​

Answer 1

$= \frac{1}{4}x \: + \: 4 \: = \frac{5}{4} \: \: \: \: \: \: \: \: \: \: \: \: \\\\ = \frac{1}{4} x \: + \frac{4}{1} = \frac{5}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: \\\\ = \frac{1x \times 4 + 4 \times 4}{4} = \frac{5}{4} \\\\ = 4(\frac{x + 16}{4} ) = \frac{5}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: \\\\ = x + 16 = \frac{5}{4} \times 4(4 \: is \: cancelled )\: \: \: \: \: \: \\ \\ = x + 16 = 5 \\ \\ = x = 5 - 16 \\ \\ x \: = - 11$

therefore -11 is the root of equation .