Question

Solve the following equation by factorisation
${16x}^{2} = 25$
​

Answer 1

Step-by-step explanation:

$16 {x}^{2} = 25 \\ 16 {x}^{2} - 25 = 0 \\ (4 {x})^{2} - {5}^{2} = 0 \\ (4x + 5)(4x - 5) = 0 \\ 4x + 5 = 0 \\ x = - \frac{5}{4}$

or

$4x - 5 = 0 \\ x = \frac{5}{4}$