Question

(a) 12cm
U 14011I (
022 cm
* What are values of roots of the equation 5x2 - 7x + 2 ?​

Answer 1

Answer:

$\large\bold\red{1\:and\:\frac{2}{5}}$

Step-by-step explanation:

Given,

a quadratic equation,

$5 {x}^{2} - 7x + 2 = 0$

To find the roots,

we need to factorise the given equation,

Therefore,

we can apply middle term splitting method here

Therefore,

we get,

$= > 5 {x}^{2} - (5x + 2x) + 2 = 0 \\ \\ = > 5 {x}^{2} - 5x - 2x + 2 = 0$

Now,

taking common terms,

we get,

$= > 5x(x - 1) - 2(x - 1) = 0 \\ \\ = > (x - 1)(5x - 2) = 0$

Therefore,

we get,

$= > x - 1 = 0 \\ \\ = > x = 1\\ \\ and \\ \\ = > 5x - 2 = 0 \\ \\ = > x = \frac{2}{5}$

Hence ,

Roots are $\bold{1\:and\:\frac{2}{5}}$