Question

25a²=16a
solve the following quadratic equation by factorization method ​

Answer 1

Answer:

$a = \frac{16}{25}$

Step-by-step explanation:

we have given

$25 {a}^{2} = 16a$

$25 {a}^{2} - 16a = 0$

$(5a + 4 \sqrt{a} )(5a - 4 \sqrt{a} ) = 0$

$5a + 4\sqrt{a} = 0 \: or \: 5a - 4 \sqrt{a } = 0$

$\sqrt{a} = \frac{ - 4}{5} \: or \: \sqrt{a} = \frac{4}{5}$

$a = \frac{16}{25} \: \: or \: \: a = \frac{16}{25}$

two roots are same ,

therefore,

$a = \frac{16}{25}$