Question

Solve the quadratic equation by the method of completing the square: 5x² -6x-2=0.

Answer 1

Answer:

x=6 i think it is the right answer

Answer 2

SOLUTION

Given,

Consider a quadratic equation

=) ax² + bx +c= 0

So,

a= 5

b= -6

c= -2

Now,

$x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ = > x = \frac{6± \sqrt{ ( { - 6)}^{2} - 4(5)( - 2)} }{2(5)} \\ \\ = > x = \frac{6 ± \sqrt{36 + 40} }{10} \\ \\ = > x = \frac{6 ± \sqrt{76} }{10} \\ \\ = > x = \frac{6 ±2 \sqrt{19} }{10} \\ \\ = >x = \frac{3 ± \sqrt{19} }{5} \: \: \: \: \: [taking \: 2 \: common]$

Hope it helps ☺️