Question

Q. Solve the following quadratic equation:-

√5x² + 7x + 2√5 = 0

please solve the sum..​

Answer 1

x = -2/√5 and x = -√5 the steps are given in the attachment

Answer 2

Answer:

$x = - (2 \div \sqrt{5} ) \: \: or \: \: x = - \sqrt{5}$

Step-by-step explanation:

$\sqrt{5} {x}^{2} + 5x + 2x + 2 \sqrt{5 } \\ | = \sqrt{5}x(x + \sqrt{5} ) + 2(x + \sqrt{5} ) \\ = ( \sqrt{5} x + 2)(x + \sqrt{5} )$

So

$( \sqrt{5} x + 2)(x + \sqrt{5} ) = 0$

So, Either

$\sqrt{5} x + 2 = 0 \: \: or \: x + \sqrt{5} = 0$

So,

$x = -(2 \div \sqrt{5} ) \: \: or \: \: x = - \sqrt{5}$